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Finding the Third Proportional to 4,197,858,552 and 9,186,505,164

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Solution

The third proportional to 4,197,858,552 and 9,186,505,164 is: 20,103,554,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,858,552 : 9,186,505,164 = 9,186,505,164 : x
  2. Step 2: Convert to fraction form
    4,197,858,552/9,186,505,164 = 9,186,505,164/x
  3. Step 3: Cross multiply
    4,197,858,552x = 9,186,505,164 × 9,186,505,164
  4. Step 4: Simplify right side
    4,197,858,552x = 84,391,877,128,198,668,288
  5. Step 5: Solve for x
    x = 84,391,877,128,198,668,288/4,197,858,552
  6. Step 6: Final answer
    x = 20,103,554,248.63

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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.