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Finding the Third Proportional to 3,023,442 and 6,578,280

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Solution

The third proportional to 3,023,442 and 6,578,280 is: 14,312,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,442 : 6,578,280 = 6,578,280 : x
  2. Step 2: Convert to fraction form
    3,023,442/6,578,280 = 6,578,280/x
  3. Step 3: Cross multiply
    3,023,442x = 6,578,280 × 6,578,280
  4. Step 4: Simplify right side
    3,023,442x = 43,273,767,758,400
  5. Step 5: Solve for x
    x = 43,273,767,758,400/3,023,442
  6. Step 6: Final answer
    x = 14,312,749.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.