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Finding the Third Proportional to 12,577,464 and 19,947,924

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Solution

The third proportional to 12,577,464 and 19,947,924 is: 31,637,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577,464 : 19,947,924 = 19,947,924 : x
  2. Step 2: Convert to fraction form
    12,577,464/19,947,924 = 19,947,924/x
  3. Step 3: Cross multiply
    12,577,464x = 19,947,924 × 19,947,924
  4. Step 4: Simplify right side
    12,577,464x = 397,919,671,909,776
  5. Step 5: Solve for x
    x = 397,919,671,909,776/12,577,464
  6. Step 6: Final answer
    x = 31,637,512.29

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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.