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Finding the Third Proportional to 6,899,787,300 and 15,008,488,732.50

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Solution

The third proportional to 6,899,787,300 and 15,008,488,732.50 is: 32,646,619,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,787,300 : 15,008,488,732.50 = 15,008,488,732.50 : x
  2. Step 2: Convert to fraction form
    6,899,787,300/15,008,488,732.50 = 15,008,488,732.50/x
  3. Step 3: Cross multiply
    6,899,787,300x = 15,008,488,732.50 × 15,008,488,732.50
  4. Step 4: Simplify right side
    6,899,787,300x = 225,254,734,033,579,442,176
  5. Step 5: Solve for x
    x = 225,254,734,033,579,442,176/6,899,787,300
  6. Step 6: Final answer
    x = 32,646,619,995.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.