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Finding the Third Proportional to 471,388,499 and 956,218,057

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Solution

The third proportional to 471,388,499 and 956,218,057 is: 1,939,701,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,388,499 : 956,218,057 = 956,218,057 : x
  2. Step 2: Convert to fraction form
    471,388,499/956,218,057 = 956,218,057/x
  3. Step 3: Cross multiply
    471,388,499x = 956,218,057 × 956,218,057
  4. Step 4: Simplify right side
    471,388,499x = 914,352,972,532,855,296
  5. Step 5: Solve for x
    x = 914,352,972,532,855,296/471,388,499
  6. Step 6: Final answer
    x = 1,939,701,487.14

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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.