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Finding the Third Proportional to 57,101,762 and 84,615,671

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Solution

The third proportional to 57,101,762 and 84,615,671 is: 125,386,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,101,762 : 84,615,671 = 84,615,671 : x
  2. Step 2: Convert to fraction form
    57,101,762/84,615,671 = 84,615,671/x
  3. Step 3: Cross multiply
    57,101,762x = 84,615,671 × 84,615,671
  4. Step 4: Simplify right side
    57,101,762x = 7,159,811,778,780,241
  5. Step 5: Solve for x
    x = 7,159,811,778,780,241/57,101,762
  6. Step 6: Final answer
    x = 125,386,879.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.