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Finding the Third Proportional to 16,014,400 and 24,817,930

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Solution

The third proportional to 16,014,400 and 24,817,930 is: 38,460,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014,400 : 24,817,930 = 24,817,930 : x
  2. Step 2: Convert to fraction form
    16,014,400/24,817,930 = 24,817,930/x
  3. Step 3: Cross multiply
    16,014,400x = 24,817,930 × 24,817,930
  4. Step 4: Simplify right side
    16,014,400x = 615,929,649,484,900
  5. Step 5: Solve for x
    x = 615,929,649,484,900/16,014,400
  6. Step 6: Final answer
    x = 38,460,988.20

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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.