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Finding the Third Proportional to 709,701,471 and 1,553,192,392

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Solution

The third proportional to 709,701,471 and 1,553,192,392 is: 3,399,185,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,701,471 : 1,553,192,392 = 1,553,192,392 : x
  2. Step 2: Convert to fraction form
    709,701,471/1,553,192,392 = 1,553,192,392/x
  3. Step 3: Cross multiply
    709,701,471x = 1,553,192,392 × 1,553,192,392
  4. Step 4: Simplify right side
    709,701,471x = 2,412,406,606,566,681,600
  5. Step 5: Solve for x
    x = 2,412,406,606,566,681,600/709,701,471
  6. Step 6: Final answer
    x = 3,399,185,016.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.