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Finding the Third Proportional to 57,378,681 and 86,236,184

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Solution

The third proportional to 57,378,681 and 86,236,184 is: 129,607,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,378,681 : 86,236,184 = 86,236,184 : x
  2. Step 2: Convert to fraction form
    57,378,681/86,236,184 = 86,236,184/x
  3. Step 3: Cross multiply
    57,378,681x = 86,236,184 × 86,236,184
  4. Step 4: Simplify right side
    57,378,681x = 7,436,679,430,881,856
  5. Step 5: Solve for x
    x = 7,436,679,430,881,856/57,378,681
  6. Step 6: Final answer
    x = 129,607,012.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.