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Finding the Third Proportional to 517,408,711,902 and 1,125,926,684,451

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Solution

The third proportional to 517,408,711,902 and 1,125,926,684,451 is: 2,450,115,101,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,408,711,902 : 1,125,926,684,451 = 1,125,926,684,451 : x
  2. Step 2: Convert to fraction form
    517,408,711,902/1,125,926,684,451 = 1,125,926,684,451/x
  3. Step 3: Cross multiply
    517,408,711,902x = 1,125,926,684,451 × 1,125,926,684,451
  4. Step 4: Simplify right side
    517,408,711,902x = 1,267,710,898,758,821,643,026,432
  5. Step 5: Solve for x
    x = 1,267,710,898,758,821,643,026,432/517,408,711,902
  6. Step 6: Final answer
    x = 2,450,115,101,654.75

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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.