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Finding the Third Proportional to 3,623,801.50 and 7,766,337.88

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Solution

The third proportional to 3,623,801.50 and 7,766,337.88 is: 16,644,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623,801.50 : 7,766,337.88 = 7,766,337.88 : x
  2. Step 2: Convert to fraction form
    3,623,801.50/7,766,337.88 = 7,766,337.88/x
  3. Step 3: Cross multiply
    3,623,801.50x = 7,766,337.88 × 7,766,337.88
  4. Step 4: Simplify right side
    3,623,801.50x = 60,316,003,988,659.52
  5. Step 5: Solve for x
    x = 60,316,003,988,659.52/3,623,801.50
  6. Step 6: Final answer
    x = 16,644,400.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.