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Finding the Third Proportional to 53,926,822 and 115,411,916

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Solution

The third proportional to 53,926,822 and 115,411,916 is: 246,999,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,926,822 : 115,411,916 = 115,411,916 : x
  2. Step 2: Convert to fraction form
    53,926,822/115,411,916 = 115,411,916/x
  3. Step 3: Cross multiply
    53,926,822x = 115,411,916 × 115,411,916
  4. Step 4: Simplify right side
    53,926,822x = 13,319,910,354,791,056
  5. Step 5: Solve for x
    x = 13,319,910,354,791,056/53,926,822
  6. Step 6: Final answer
    x = 246,999,727.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.