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Finding the Third Proportional to 31,284,282 and 45,806,451

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Solution

The third proportional to 31,284,282 and 45,806,451 is: 67,069,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,284,282 : 45,806,451 = 45,806,451 : x
  2. Step 2: Convert to fraction form
    31,284,282/45,806,451 = 45,806,451/x
  3. Step 3: Cross multiply
    31,284,282x = 45,806,451 × 45,806,451
  4. Step 4: Simplify right side
    31,284,282x = 2,098,230,953,215,401
  5. Step 5: Solve for x
    x = 2,098,230,953,215,401/31,284,282
  6. Step 6: Final answer
    x = 67,069,813.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.