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Finding the Third Proportional to 8,967,348.50 and 12,582,966

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Solution

The third proportional to 8,967,348.50 and 12,582,966 is: 17,656,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967,348.50 : 12,582,966 = 12,582,966 : x
  2. Step 2: Convert to fraction form
    8,967,348.50/12,582,966 = 12,582,966/x
  3. Step 3: Cross multiply
    8,967,348.50x = 12,582,966 × 12,582,966
  4. Step 4: Simplify right side
    8,967,348.50x = 158,331,033,357,156
  5. Step 5: Solve for x
    x = 158,331,033,357,156/8,967,348.50
  6. Step 6: Final answer
    x = 17,656,393.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.