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Finding the Third Proportional to 77,393,952 and 111,878,712

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Solution

The third proportional to 77,393,952 and 111,878,712 is: 161,728,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,393,952 : 111,878,712 = 111,878,712 : x
  2. Step 2: Convert to fraction form
    77,393,952/111,878,712 = 111,878,712/x
  3. Step 3: Cross multiply
    77,393,952x = 111,878,712 × 111,878,712
  4. Step 4: Simplify right side
    77,393,952x = 12,516,846,198,778,944
  5. Step 5: Solve for x
    x = 12,516,846,198,778,944/77,393,952
  6. Step 6: Final answer
    x = 161,728,996.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.