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Finding the Third Proportional to 291,312,915.75 and 624,177,839.25

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Solution

The third proportional to 291,312,915.75 and 624,177,839.25 is: 1,337,386,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,312,915.75 : 624,177,839.25 = 624,177,839.25 : x
  2. Step 2: Convert to fraction form
    291,312,915.75/624,177,839.25 = 624,177,839.25/x
  3. Step 3: Cross multiply
    291,312,915.75x = 624,177,839.25 × 624,177,839.25
  4. Step 4: Simplify right side
    291,312,915.75x = 389,597,975,010,798,848
  5. Step 5: Solve for x
    x = 389,597,975,010,798,848/291,312,915.75
  6. Step 6: Final answer
    x = 1,337,386,548.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.