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Finding the Third Proportional to 5,134,038,042 and 11,252,304,816

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Solution

The third proportional to 5,134,038,042 and 11,252,304,816 is: 24,661,750,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134,038,042 : 11,252,304,816 = 11,252,304,816 : x
  2. Step 2: Convert to fraction form
    5,134,038,042/11,252,304,816 = 11,252,304,816/x
  3. Step 3: Cross multiply
    5,134,038,042x = 11,252,304,816 × 11,252,304,816
  4. Step 4: Simplify right side
    5,134,038,042x = 126,614,363,672,176,787,456
  5. Step 5: Solve for x
    x = 126,614,363,672,176,787,456/5,134,038,042
  6. Step 6: Final answer
    x = 24,661,750,192.81

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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.