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Finding the Third Proportional to 8,720,839,902 and 19,130,053,164

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Solution

The third proportional to 8,720,839,902 and 19,130,053,164 is: 41,963,725,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720,839,902 : 19,130,053,164 = 19,130,053,164 : x
  2. Step 2: Convert to fraction form
    8,720,839,902/19,130,053,164 = 19,130,053,164/x
  3. Step 3: Cross multiply
    8,720,839,902x = 19,130,053,164 × 19,130,053,164
  4. Step 4: Simplify right side
    8,720,839,902x = 365,958,934,057,466,396,672
  5. Step 5: Solve for x
    x = 365,958,934,057,466,396,672/8,720,839,902
  6. Step 6: Final answer
    x = 41,963,725,761.50

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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.