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Finding the Third Proportional to 242,571,121 and 527,643,264

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Solution

The third proportional to 242,571,121 and 527,643,264 is: 1,147,735,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,571,121 : 527,643,264 = 527,643,264 : x
  2. Step 2: Convert to fraction form
    242,571,121/527,643,264 = 527,643,264/x
  3. Step 3: Cross multiply
    242,571,121x = 527,643,264 × 527,643,264
  4. Step 4: Simplify right side
    242,571,121x = 278,407,414,044,573,696
  5. Step 5: Solve for x
    x = 278,407,414,044,573,696/242,571,121
  6. Step 6: Final answer
    x = 1,147,735,199.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.