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Finding the Third Proportional to 409,387,695 and 966,425,472

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Solution

The third proportional to 409,387,695 and 966,425,472 is: 2,281,402,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,387,695 : 966,425,472 = 966,425,472 : x
  2. Step 2: Convert to fraction form
    409,387,695/966,425,472 = 966,425,472/x
  3. Step 3: Cross multiply
    409,387,695x = 966,425,472 × 966,425,472
  4. Step 4: Simplify right side
    409,387,695x = 933,978,192,930,422,784
  5. Step 5: Solve for x
    x = 933,978,192,930,422,784/409,387,695
  6. Step 6: Final answer
    x = 2,281,402,700.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.