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Finding the Third Proportional to 471,388,497 and 956,218,053

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Solution

The third proportional to 471,388,497 and 956,218,053 is: 1,939,701,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,388,497 : 956,218,053 = 956,218,053 : x
  2. Step 2: Convert to fraction form
    471,388,497/956,218,053 = 956,218,053/x
  3. Step 3: Cross multiply
    471,388,497x = 956,218,053 × 956,218,053
  4. Step 4: Simplify right side
    471,388,497x = 914,352,964,883,110,784
  5. Step 5: Solve for x
    x = 914,352,964,883,110,784/471,388,497
  6. Step 6: Final answer
    x = 1,939,701,479.15

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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.