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Finding the Third Proportional to 4,197,858,129 and 9,186,504,354

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Solution

The third proportional to 4,197,858,129 and 9,186,504,354 is: 20,103,552,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,858,129 : 9,186,504,354 = 9,186,504,354 : x
  2. Step 2: Convert to fraction form
    4,197,858,129/9,186,504,354 = 9,186,504,354/x
  3. Step 3: Cross multiply
    4,197,858,129x = 9,186,504,354 × 9,186,504,354
  4. Step 4: Simplify right side
    4,197,858,129x = 84,391,862,246,060,949,504
  5. Step 5: Solve for x
    x = 84,391,862,246,060,949,504/4,197,858,129
  6. Step 6: Final answer
    x = 20,103,552,729.20

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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.