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Finding the Third Proportional to 11,854,584 and 18,851,724

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Solution

The third proportional to 11,854,584 and 18,851,724 is: 29,978,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854,584 : 18,851,724 = 18,851,724 : x
  2. Step 2: Convert to fraction form
    11,854,584/18,851,724 = 18,851,724/x
  3. Step 3: Cross multiply
    11,854,584x = 18,851,724 × 18,851,724
  4. Step 4: Simplify right side
    11,854,584x = 355,387,497,772,176
  5. Step 5: Solve for x
    x = 355,387,497,772,176/11,854,584
  6. Step 6: Final answer
    x = 29,978,909.24

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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.