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Finding the Third Proportional to 1,700,841,429.50 and 2,662,281,376.25

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Solution

The third proportional to 1,700,841,429.50 and 2,662,281,376.25 is: 4,167,197,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,841,429.50 : 2,662,281,376.25 = 2,662,281,376.25 : x
  2. Step 2: Convert to fraction form
    1,700,841,429.50/2,662,281,376.25 = 2,662,281,376.25/x
  3. Step 3: Cross multiply
    1,700,841,429.50x = 2,662,281,376.25 × 2,662,281,376.25
  4. Step 4: Simplify right side
    1,700,841,429.50x = 7,087,742,126,327,593,984
  5. Step 5: Solve for x
    x = 7,087,742,126,327,593,984/1,700,841,429.50
  6. Step 6: Final answer
    x = 4,167,197,484.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.