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Finding the Third Proportional to 689,464,892.25 and 1,097,605,273.50

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Solution

The third proportional to 689,464,892.25 and 1,097,605,273.50 is: 1,747,351,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,464,892.25 : 1,097,605,273.50 = 1,097,605,273.50 : x
  2. Step 2: Convert to fraction form
    689,464,892.25/1,097,605,273.50 = 1,097,605,273.50/x
  3. Step 3: Cross multiply
    689,464,892.25x = 1,097,605,273.50 × 1,097,605,273.50
  4. Step 4: Simplify right side
    689,464,892.25x = 1,204,737,336,415,009,792
  5. Step 5: Solve for x
    x = 1,204,737,336,415,009,792/689,464,892.25
  6. Step 6: Final answer
    x = 1,747,351,242.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.