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Finding the Third Proportional to 37,884,264 and 81,681,864

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Solution

The third proportional to 37,884,264 and 81,681,864 is: 176,113,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884,264 : 81,681,864 = 81,681,864 : x
  2. Step 2: Convert to fraction form
    37,884,264/81,681,864 = 81,681,864/x
  3. Step 3: Cross multiply
    37,884,264x = 81,681,864 × 81,681,864
  4. Step 4: Simplify right side
    37,884,264x = 6,671,926,906,514,496
  5. Step 5: Solve for x
    x = 6,671,926,906,514,496/37,884,264
  6. Step 6: Final answer
    x = 176,113,409.69

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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.