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Finding the Third Proportional to 581,678,288 and 1,272,811,696

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Solution

The third proportional to 581,678,288 and 1,272,811,696 is: 2,785,129,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,678,288 : 1,272,811,696 = 1,272,811,696 : x
  2. Step 2: Convert to fraction form
    581,678,288/1,272,811,696 = 1,272,811,696/x
  3. Step 3: Cross multiply
    581,678,288x = 1,272,811,696 × 1,272,811,696
  4. Step 4: Simplify right side
    581,678,288x = 1,620,049,613,474,396,416
  5. Step 5: Solve for x
    x = 1,620,049,613,474,396,416/581,678,288
  6. Step 6: Final answer
    x = 2,785,129,936.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.