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Finding the Third Proportional to 52,827,466 and 114,448,798

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Solution

The third proportional to 52,827,466 and 114,448,798 is: 247,949,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,827,466 : 114,448,798 = 114,448,798 : x
  2. Step 2: Convert to fraction form
    52,827,466/114,448,798 = 114,448,798/x
  3. Step 3: Cross multiply
    52,827,466x = 114,448,798 × 114,448,798
  4. Step 4: Simplify right side
    52,827,466x = 13,098,527,363,644,804
  5. Step 5: Solve for x
    x = 13,098,527,363,644,804/52,827,466
  6. Step 6: Final answer
    x = 247,949,189.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.