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Finding the Third Proportional to 680,587,761.75 and 1,464,604,470.75

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Solution

The third proportional to 680,587,761.75 and 1,464,604,470.75 is: 3,151,784,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,587,761.75 : 1,464,604,470.75 = 1,464,604,470.75 : x
  2. Step 2: Convert to fraction form
    680,587,761.75/1,464,604,470.75 = 1,464,604,470.75/x
  3. Step 3: Cross multiply
    680,587,761.75x = 1,464,604,470.75 × 1,464,604,470.75
  4. Step 4: Simplify right side
    680,587,761.75x = 2,145,066,255,740,887,552
  5. Step 5: Solve for x
    x = 2,145,066,255,740,887,552/680,587,761.75
  6. Step 6: Final answer
    x = 3,151,784,936.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.