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Finding the Third Proportional to 6,256,442 and 13,708,768

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Solution

The third proportional to 6,256,442 and 13,708,768 is: 30,037,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256,442 : 13,708,768 = 13,708,768 : x
  2. Step 2: Convert to fraction form
    6,256,442/13,708,768 = 13,708,768/x
  3. Step 3: Cross multiply
    6,256,442x = 13,708,768 × 13,708,768
  4. Step 4: Simplify right side
    6,256,442x = 187,930,320,077,824
  5. Step 5: Solve for x
    x = 187,930,320,077,824/6,256,442
  6. Step 6: Final answer
    x = 30,037,890.56

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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.