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Finding the Third Proportional to 56,611,370 and 123,822,016

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Solution

The third proportional to 56,611,370 and 123,822,016 is: 270,827,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,611,370 : 123,822,016 = 123,822,016 : x
  2. Step 2: Convert to fraction form
    56,611,370/123,822,016 = 123,822,016/x
  3. Step 3: Cross multiply
    56,611,370x = 123,822,016 × 123,822,016
  4. Step 4: Simplify right side
    56,611,370x = 15,331,891,646,304,256
  5. Step 5: Solve for x
    x = 15,331,891,646,304,256/56,611,370
  6. Step 6: Final answer
    x = 270,827,073.19

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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.