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Finding the Third Proportional to 730,471,813 and 1,564,375,351

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Solution

The third proportional to 730,471,813 and 1,564,375,351 is: 3,350,259,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,471,813 : 1,564,375,351 = 1,564,375,351 : x
  2. Step 2: Convert to fraction form
    730,471,813/1,564,375,351 = 1,564,375,351/x
  3. Step 3: Cross multiply
    730,471,813x = 1,564,375,351 × 1,564,375,351
  4. Step 4: Simplify right side
    730,471,813x = 2,447,270,238,816,373,248
  5. Step 5: Solve for x
    x = 2,447,270,238,816,373,248/730,471,813
  6. Step 6: Final answer
    x = 3,350,259,647.62

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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.