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Finding the Third Proportional to 231,107,682 and 470,286,612

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Solution

The third proportional to 231,107,682 and 470,286,612 is: 956,997,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,107,682 : 470,286,612 = 470,286,612 : x
  2. Step 2: Convert to fraction form
    231,107,682/470,286,612 = 470,286,612/x
  3. Step 3: Cross multiply
    231,107,682x = 470,286,612 × 470,286,612
  4. Step 4: Simplify right side
    231,107,682x = 221,169,497,426,438,528
  5. Step 5: Solve for x
    x = 221,169,497,426,438,528/231,107,682
  6. Step 6: Final answer
    x = 956,997,601.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.