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Finding the Third Proportional to 54,930,118 and 83,102,146

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Solution

The third proportional to 54,930,118 and 83,102,146 is: 125,722,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,930,118 : 83,102,146 = 83,102,146 : x
  2. Step 2: Convert to fraction form
    54,930,118/83,102,146 = 83,102,146/x
  3. Step 3: Cross multiply
    54,930,118x = 83,102,146 × 83,102,146
  4. Step 4: Simplify right side
    54,930,118x = 6,905,966,669,805,316
  5. Step 5: Solve for x
    x = 6,905,966,669,805,316/54,930,118
  6. Step 6: Final answer
    x = 125,722,771.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.