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Finding the Third Proportional to 4,948,221 and 7,661,769

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Solution

The third proportional to 4,948,221 and 7,661,769 is: 11,863,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948,221 : 7,661,769 = 7,661,769 : x
  2. Step 2: Convert to fraction form
    4,948,221/7,661,769 = 7,661,769/x
  3. Step 3: Cross multiply
    4,948,221x = 7,661,769 × 7,661,769
  4. Step 4: Simplify right side
    4,948,221x = 58,702,704,209,361
  5. Step 5: Solve for x
    x = 58,702,704,209,361/4,948,221
  6. Step 6: Final answer
    x = 11,863,395.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.