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Finding the Third Proportional to 16,498,509 and 24,242,565

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Solution

The third proportional to 16,498,509 and 24,242,565 is: 35,621,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498,509 : 24,242,565 = 24,242,565 : x
  2. Step 2: Convert to fraction form
    16,498,509/24,242,565 = 24,242,565/x
  3. Step 3: Cross multiply
    16,498,509x = 24,242,565 × 24,242,565
  4. Step 4: Simplify right side
    16,498,509x = 587,701,957,779,225
  5. Step 5: Solve for x
    x = 587,701,957,779,225/16,498,509
  6. Step 6: Final answer
    x = 35,621,519.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.