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Finding the Third Proportional to 7,193,200,417,055 and 15,532,872,228,907

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Solution

The third proportional to 7,193,200,417,055 and 15,532,872,228,907 is: 33,541,414,904,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193,200,417,055 : 15,532,872,228,907 = 15,532,872,228,907 : x
  2. Step 2: Convert to fraction form
    7,193,200,417,055/15,532,872,228,907 = 15,532,872,228,907/x
  3. Step 3: Cross multiply
    7,193,200,417,055x = 15,532,872,228,907 × 15,532,872,228,907
  4. Step 4: Simplify right side
    7,193,200,417,055x = 241,270,119,679,550,308,929,765,376
  5. Step 5: Solve for x
    x = 241,270,119,679,550,308,929,765,376/7,193,200,417,055
  6. Step 6: Final answer
    x = 33,541,414,904,484.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.