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Finding the Third Proportional to 16,015,023 and 24,818,865.75

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Solution

The third proportional to 16,015,023 and 24,818,865.75 is: 38,462,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015,023 : 24,818,865.75 = 24,818,865.75 : x
  2. Step 2: Convert to fraction form
    16,015,023/24,818,865.75 = 24,818,865.75/x
  3. Step 3: Cross multiply
    16,015,023x = 24,818,865.75 × 24,818,865.75
  4. Step 4: Simplify right side
    16,015,023x = 615,976,097,116,523
  5. Step 5: Solve for x
    x = 615,976,097,116,523/16,015,023
  6. Step 6: Final answer
    x = 38,462,392.29

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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.