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Finding the Third Proportional to 16,015,644 and 24,819,655.50

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Solution

The third proportional to 16,015,644 and 24,819,655.50 is: 38,463,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015,644 : 24,819,655.50 = 24,819,655.50 : x
  2. Step 2: Convert to fraction form
    16,015,644/24,819,655.50 = 24,819,655.50/x
  3. Step 3: Cross multiply
    16,015,644x = 24,819,655.50 × 24,819,655.50
  4. Step 4: Simplify right side
    16,015,644x = 616,015,299,138,680.25
  5. Step 5: Solve for x
    x = 616,015,299,138,680.25/16,015,644
  6. Step 6: Final answer
    x = 38,463,348.66

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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.