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Finding the Third Proportional to 4,578,515,057 and 9,917,656,078

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Solution

The third proportional to 4,578,515,057 and 9,917,656,078 is: 21,482,926,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578,515,057 : 9,917,656,078 = 9,917,656,078 : x
  2. Step 2: Convert to fraction form
    4,578,515,057/9,917,656,078 = 9,917,656,078/x
  3. Step 3: Cross multiply
    4,578,515,057x = 9,917,656,078 × 9,917,656,078
  4. Step 4: Simplify right side
    4,578,515,057x = 98,359,902,081,490,337,792
  5. Step 5: Solve for x
    x = 98,359,902,081,490,337,792/4,578,515,057
  6. Step 6: Final answer
    x = 21,482,926,419.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.