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Finding the Third Proportional to 10,625,869,594 and 23,253,420,098

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Solution

The third proportional to 10,625,869,594 and 23,253,420,098 is: 50,887,274,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625,869,594 : 23,253,420,098 = 23,253,420,098 : x
  2. Step 2: Convert to fraction form
    10,625,869,594/23,253,420,098 = 23,253,420,098/x
  3. Step 3: Cross multiply
    10,625,869,594x = 23,253,420,098 × 23,253,420,098
  4. Step 4: Simplify right side
    10,625,869,594x = 540,721,546,254,070,317,056
  5. Step 5: Solve for x
    x = 540,721,546,254,070,317,056/10,625,869,594
  6. Step 6: Final answer
    x = 50,887,274,822.14

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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.