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Finding the Third Proportional to 10,969,938 and 23,625,639

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Solution

The third proportional to 10,969,938 and 23,625,639 is: 50,881,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969,938 : 23,625,639 = 23,625,639 : x
  2. Step 2: Convert to fraction form
    10,969,938/23,625,639 = 23,625,639/x
  3. Step 3: Cross multiply
    10,969,938x = 23,625,639 × 23,625,639
  4. Step 4: Simplify right side
    10,969,938x = 558,170,818,158,321
  5. Step 5: Solve for x
    x = 558,170,818,158,321/10,969,938
  6. Step 6: Final answer
    x = 50,881,857.14

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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.