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Finding the Third Proportional to 10,838,899 and 15,851,424

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Solution

The third proportional to 10,838,899 and 15,851,424 is: 23,182,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838,899 : 15,851,424 = 15,851,424 : x
  2. Step 2: Convert to fraction form
    10,838,899/15,851,424 = 15,851,424/x
  3. Step 3: Cross multiply
    10,838,899x = 15,851,424 × 15,851,424
  4. Step 4: Simplify right side
    10,838,899x = 251,267,642,827,776
  5. Step 5: Solve for x
    x = 251,267,642,827,776/10,838,899
  6. Step 6: Final answer
    x = 23,182,026.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.