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Finding the Third Proportional to 14,257,058 and 30,739,780

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Solution

The third proportional to 14,257,058 and 30,739,780 is: 66,278,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257,058 : 30,739,780 = 30,739,780 : x
  2. Step 2: Convert to fraction form
    14,257,058/30,739,780 = 30,739,780/x
  3. Step 3: Cross multiply
    14,257,058x = 30,739,780 × 30,739,780
  4. Step 4: Simplify right side
    14,257,058x = 944,934,074,448,400
  5. Step 5: Solve for x
    x = 944,934,074,448,400/14,257,058
  6. Step 6: Final answer
    x = 66,278,335.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.