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Finding the Third Proportional to 4,649,432 and 10,032,830

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Solution

The third proportional to 4,649,432 and 10,032,830 is: 21,649,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,432 : 10,032,830 = 10,032,830 : x
  2. Step 2: Convert to fraction form
    4,649,432/10,032,830 = 10,032,830/x
  3. Step 3: Cross multiply
    4,649,432x = 10,032,830 × 10,032,830
  4. Step 4: Simplify right side
    4,649,432x = 100,657,677,808,900
  5. Step 5: Solve for x
    x = 100,657,677,808,900/4,649,432
  6. Step 6: Final answer
    x = 21,649,456.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.