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Finding the Third Proportional to 3,187,879,029 and 5,000,388,414

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Solution

The third proportional to 3,187,879,029 and 5,000,388,414 is: 7,843,423,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187,879,029 : 5,000,388,414 = 5,000,388,414 : x
  2. Step 2: Convert to fraction form
    3,187,879,029/5,000,388,414 = 5,000,388,414/x
  3. Step 3: Cross multiply
    3,187,879,029x = 5,000,388,414 × 5,000,388,414
  4. Step 4: Simplify right side
    3,187,879,029x = 25,003,884,290,865,434,624
  5. Step 5: Solve for x
    x = 25,003,884,290,865,434,624/3,187,879,029
  6. Step 6: Final answer
    x = 7,843,423,186.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.