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Finding the Third Proportional to 4,016,642 and 8,829,352

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Solution

The third proportional to 4,016,642 and 8,829,352 is: 19,408,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016,642 : 8,829,352 = 8,829,352 : x
  2. Step 2: Convert to fraction form
    4,016,642/8,829,352 = 8,829,352/x
  3. Step 3: Cross multiply
    4,016,642x = 8,829,352 × 8,829,352
  4. Step 4: Simplify right side
    4,016,642x = 77,957,456,739,904
  5. Step 5: Solve for x
    x = 77,957,456,739,904/4,016,642
  6. Step 6: Final answer
    x = 19,408,614.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.