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Finding the Third Proportional to 1,668,652,741,742.70 and 3,578,742,887,203.20

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Solution

The third proportional to 1,668,652,741,742.70 and 3,578,742,887,203.20 is: 7,675,294,165,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,652,741,742.70 : 3,578,742,887,203.20 = 3,578,742,887,203.20 : x
  2. Step 2: Convert to fraction form
    1,668,652,741,742.70/3,578,742,887,203.20 = 3,578,742,887,203.20/x
  3. Step 3: Cross multiply
    1,668,652,741,742.70x = 3,578,742,887,203.20 × 3,578,742,887,203.20
  4. Step 4: Simplify right side
    1,668,652,741,742.70x = 12,807,400,652,707,496,873,426,944
  5. Step 5: Solve for x
    x = 12,807,400,652,707,496,873,426,944/1,668,652,741,742.70
  6. Step 6: Final answer
    x = 7,675,294,165,358.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.