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Finding the Third Proportional to 188,947,011 and 406,872,582

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Solution

The third proportional to 188,947,011 and 406,872,582 is: 876,146,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,947,011 : 406,872,582 = 406,872,582 : x
  2. Step 2: Convert to fraction form
    188,947,011/406,872,582 = 406,872,582/x
  3. Step 3: Cross multiply
    188,947,011x = 406,872,582 × 406,872,582
  4. Step 4: Simplify right side
    188,947,011x = 165,545,297,983,346,720
  5. Step 5: Solve for x
    x = 165,545,297,983,346,720/188,947,011
  6. Step 6: Final answer
    x = 876,146,688.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.