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Finding the Third Proportional to 731,900,805.75 and 1,115,011,915.03

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Solution

The third proportional to 731,900,805.75 and 1,115,011,915.03 is: 1,698,661,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,900,805.75 : 1,115,011,915.03 = 1,115,011,915.03 : x
  2. Step 2: Convert to fraction form
    731,900,805.75/1,115,011,915.03 = 1,115,011,915.03/x
  3. Step 3: Cross multiply
    731,900,805.75x = 1,115,011,915.03 × 1,115,011,915.03
  4. Step 4: Simplify right side
    731,900,805.75x = 1,243,251,570,661,543,936
  5. Step 5: Solve for x
    x = 1,243,251,570,661,543,936/731,900,805.75
  6. Step 6: Final answer
    x = 1,698,661,295.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.