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Finding the Third Proportional to 477,352,162 and 713,088,397

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Solution

The third proportional to 477,352,162 and 713,088,397 is: 1,065,240,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,352,162 : 713,088,397 = 713,088,397 : x
  2. Step 2: Convert to fraction form
    477,352,162/713,088,397 = 713,088,397/x
  3. Step 3: Cross multiply
    477,352,162x = 713,088,397 × 713,088,397
  4. Step 4: Simplify right side
    477,352,162x = 508,495,061,936,029,632
  5. Step 5: Solve for x
    x = 508,495,061,936,029,632/477,352,162
  6. Step 6: Final answer
    x = 1,065,240,931.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.