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Finding the Third Proportional to 5,165,535 and 11,261,139

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Solution

The third proportional to 5,165,535 and 11,261,139 is: 24,549,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165,535 : 11,261,139 = 11,261,139 : x
  2. Step 2: Convert to fraction form
    5,165,535/11,261,139 = 11,261,139/x
  3. Step 3: Cross multiply
    5,165,535x = 11,261,139 × 11,261,139
  4. Step 4: Simplify right side
    5,165,535x = 126,813,251,577,321
  5. Step 5: Solve for x
    x = 126,813,251,577,321/5,165,535
  6. Step 6: Final answer
    x = 24,549,877.52

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Why These Related Problems?

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