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Finding the Third Proportional to 9,506,023.31 and 20,527,478.16

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Solution

The third proportional to 9,506,023.31 and 20,527,478.16 is: 44,327,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506,023.31 : 20,527,478.16 = 20,527,478.16 : x
  2. Step 2: Convert to fraction form
    9,506,023.31/20,527,478.16 = 20,527,478.16/x
  3. Step 3: Cross multiply
    9,506,023.31x = 20,527,478.16 × 20,527,478.16
  4. Step 4: Simplify right side
    9,506,023.31x = 421,377,359,455,320.88
  5. Step 5: Solve for x
    x = 421,377,359,455,320.88/9,506,023.31
  6. Step 6: Final answer
    x = 44,327,406.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.