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Finding the Third Proportional to 623,532,654 and 871,735,395.38

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Solution

The third proportional to 623,532,654 and 871,735,395.38 is: 1,218,737,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,532,654 : 871,735,395.38 = 871,735,395.38 : x
  2. Step 2: Convert to fraction form
    623,532,654/871,735,395.38 = 871,735,395.38/x
  3. Step 3: Cross multiply
    623,532,654x = 871,735,395.38 × 871,735,395.38
  4. Step 4: Simplify right side
    623,532,654x = 759,922,599,549,607,552
  5. Step 5: Solve for x
    x = 759,922,599,549,607,552/623,532,654
  6. Step 6: Final answer
    x = 1,218,737,454.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.