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Finding the Third Proportional to 37,884,260 and 81,681,853

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Solution

The third proportional to 37,884,260 and 81,681,853 is: 176,113,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884,260 : 81,681,853 = 81,681,853 : x
  2. Step 2: Convert to fraction form
    37,884,260/81,681,853 = 81,681,853/x
  3. Step 3: Cross multiply
    37,884,260x = 81,681,853 × 81,681,853
  4. Step 4: Simplify right side
    37,884,260x = 6,671,925,109,513,609
  5. Step 5: Solve for x
    x = 6,671,925,109,513,609/37,884,260
  6. Step 6: Final answer
    x = 176,113,380.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.