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Finding the Third Proportional to 10,726,534 and 23,458,378

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Solution

The third proportional to 10,726,534 and 23,458,378 is: 51,302,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726,534 : 23,458,378 = 23,458,378 : x
  2. Step 2: Convert to fraction form
    10,726,534/23,458,378 = 23,458,378/x
  3. Step 3: Cross multiply
    10,726,534x = 23,458,378 × 23,458,378
  4. Step 4: Simplify right side
    10,726,534x = 550,295,498,390,884
  5. Step 5: Solve for x
    x = 550,295,498,390,884/10,726,534
  6. Step 6: Final answer
    x = 51,302,265.80

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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.