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Finding the Third Proportional to 10,407,866 and 15,256,768

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Solution

The third proportional to 10,407,866 and 15,256,768 is: 22,364,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407,866 : 15,256,768 = 15,256,768 : x
  2. Step 2: Convert to fraction form
    10,407,866/15,256,768 = 15,256,768/x
  3. Step 3: Cross multiply
    10,407,866x = 15,256,768 × 15,256,768
  4. Step 4: Simplify right side
    10,407,866x = 232,768,969,805,824
  5. Step 5: Solve for x
    x = 232,768,969,805,824/10,407,866
  6. Step 6: Final answer
    x = 22,364,716.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.