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Finding the Third Proportional to 2,700,181,764 and 4,057,461,882

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Solution

The third proportional to 2,700,181,764 and 4,057,461,882 is: 6,096,995,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700,181,764 : 4,057,461,882 = 4,057,461,882 : x
  2. Step 2: Convert to fraction form
    2,700,181,764/4,057,461,882 = 4,057,461,882/x
  3. Step 3: Cross multiply
    2,700,181,764x = 4,057,461,882 × 4,057,461,882
  4. Step 4: Simplify right side
    2,700,181,764x = 16,462,996,923,882,981,376
  5. Step 5: Solve for x
    x = 16,462,996,923,882,981,376/2,700,181,764
  6. Step 6: Final answer
    x = 6,096,995,818.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.