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Finding the Third Proportional to 3,375,755,938,143 and 7,241,558,009,035.20

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Solution

The third proportional to 3,375,755,938,143 and 7,241,558,009,035.20 is: 15,534,346,486,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375,755,938,143 : 7,241,558,009,035.20 = 7,241,558,009,035.20 : x
  2. Step 2: Convert to fraction form
    3,375,755,938,143/7,241,558,009,035.20 = 7,241,558,009,035.20/x
  3. Step 3: Cross multiply
    3,375,755,938,143x = 7,241,558,009,035.20 × 7,241,558,009,035.20
  4. Step 4: Simplify right side
    3,375,755,938,143x = 52,440,162,398,221,854,641,750,016
  5. Step 5: Solve for x
    x = 52,440,162,398,221,854,641,750,016/3,375,755,938,143
  6. Step 6: Final answer
    x = 15,534,346,486,869.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.