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Finding the Third Proportional to 31,493,624 and 45,035,934

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Solution

The third proportional to 31,493,624 and 45,035,934 is: 64,401,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493,624 : 45,035,934 = 45,035,934 : x
  2. Step 2: Convert to fraction form
    31,493,624/45,035,934 = 45,035,934/x
  3. Step 3: Cross multiply
    31,493,624x = 45,035,934 × 45,035,934
  4. Step 4: Simplify right side
    31,493,624x = 2,028,235,351,252,356
  5. Step 5: Solve for x
    x = 2,028,235,351,252,356/31,493,624
  6. Step 6: Final answer
    x = 64,401,459.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.