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Finding the Third Proportional to 6,024,862 and 13,245,315

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Solution

The third proportional to 6,024,862 and 13,245,315 is: 29,119,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,862 : 13,245,315 = 13,245,315 : x
  2. Step 2: Convert to fraction form
    6,024,862/13,245,315 = 13,245,315/x
  3. Step 3: Cross multiply
    6,024,862x = 13,245,315 × 13,245,315
  4. Step 4: Simplify right side
    6,024,862x = 175,438,369,449,225
  5. Step 5: Solve for x
    x = 175,438,369,449,225/6,024,862
  6. Step 6: Final answer
    x = 29,119,068.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.