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Finding the Third Proportional to 20,124,023 and 31,381,776.75

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Solution

The third proportional to 20,124,023 and 31,381,776.75 is: 48,937,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124,023 : 31,381,776.75 = 31,381,776.75 : x
  2. Step 2: Convert to fraction form
    20,124,023/31,381,776.75 = 31,381,776.75/x
  3. Step 3: Cross multiply
    20,124,023x = 31,381,776.75 × 31,381,776.75
  4. Step 4: Simplify right side
    20,124,023x = 984,815,911,986,840.50
  5. Step 5: Solve for x
    x = 984,815,911,986,840.50/20,124,023
  6. Step 6: Final answer
    x = 48,937,327.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.