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Finding the Third Proportional to 10,625,869,590 and 23,253,420,090

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Solution

The third proportional to 10,625,869,590 and 23,253,420,090 is: 50,887,274,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625,869,590 : 23,253,420,090 = 23,253,420,090 : x
  2. Step 2: Convert to fraction form
    10,625,869,590/23,253,420,090 = 23,253,420,090/x
  3. Step 3: Cross multiply
    10,625,869,590x = 23,253,420,090 × 23,253,420,090
  4. Step 4: Simplify right side
    10,625,869,590x = 540,721,545,882,015,629,312
  5. Step 5: Solve for x
    x = 540,721,545,882,015,629,312/10,625,869,590
  6. Step 6: Final answer
    x = 50,887,274,806.28

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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.