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Finding the Third Proportional to 14,778,902 and 23,534,327

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Solution

The third proportional to 14,778,902 and 23,534,327 is: 37,476,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778,902 : 23,534,327 = 23,534,327 : x
  2. Step 2: Convert to fraction form
    14,778,902/23,534,327 = 23,534,327/x
  3. Step 3: Cross multiply
    14,778,902x = 23,534,327 × 23,534,327
  4. Step 4: Simplify right side
    14,778,902x = 553,864,547,342,929
  5. Step 5: Solve for x
    x = 553,864,547,342,929/14,778,902
  6. Step 6: Final answer
    x = 37,476,704.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.