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Finding the Third Proportional to 1,248,031,048 and 2,704,306,832

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Solution

The third proportional to 1,248,031,048 and 2,704,306,832 is: 5,859,850,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,031,048 : 2,704,306,832 = 2,704,306,832 : x
  2. Step 2: Convert to fraction form
    1,248,031,048/2,704,306,832 = 2,704,306,832/x
  3. Step 3: Cross multiply
    1,248,031,048x = 2,704,306,832 × 2,704,306,832
  4. Step 4: Simplify right side
    1,248,031,048x = 7,313,275,441,601,875,968
  5. Step 5: Solve for x
    x = 7,313,275,441,601,875,968/1,248,031,048
  6. Step 6: Final answer
    x = 5,859,850,564.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.