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Finding the Third Proportional to 6,073,470 and 9,313,200

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Solution

The third proportional to 6,073,470 and 9,313,200 is: 14,281,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073,470 : 9,313,200 = 9,313,200 : x
  2. Step 2: Convert to fraction form
    6,073,470/9,313,200 = 9,313,200/x
  3. Step 3: Cross multiply
    6,073,470x = 9,313,200 × 9,313,200
  4. Step 4: Simplify right side
    6,073,470x = 86,735,694,240,000
  5. Step 5: Solve for x
    x = 86,735,694,240,000/6,073,470
  6. Step 6: Final answer
    x = 14,281,077.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.