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Finding the Third Proportional to 27,815,870 and 56,417,816

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Solution

The third proportional to 27,815,870 and 56,417,816 is: 114,429,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815,870 : 56,417,816 = 56,417,816 : x
  2. Step 2: Convert to fraction form
    27,815,870/56,417,816 = 56,417,816/x
  3. Step 3: Cross multiply
    27,815,870x = 56,417,816 × 56,417,816
  4. Step 4: Simplify right side
    27,815,870x = 3,182,969,962,209,856
  5. Step 5: Solve for x
    x = 3,182,969,962,209,856/27,815,870
  6. Step 6: Final answer
    x = 114,429,998.49

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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.