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Finding the Third Proportional to 517,408,693,272 and 1,125,926,647,404

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Solution

The third proportional to 517,408,693,272 and 1,125,926,647,404 is: 2,450,115,028,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,408,693,272 : 1,125,926,647,404 = 1,125,926,647,404 : x
  2. Step 2: Convert to fraction form
    517,408,693,272/1,125,926,647,404 = 1,125,926,647,404/x
  3. Step 3: Cross multiply
    517,408,693,272x = 1,125,926,647,404 × 1,125,926,647,404
  4. Step 4: Simplify right side
    517,408,693,272x = 1,267,710,815,334,411,435,769,856
  5. Step 5: Solve for x
    x = 1,267,710,815,334,411,435,769,856/517,408,693,272
  6. Step 6: Final answer
    x = 2,450,115,028,639.42

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