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Finding the Third Proportional to 7,580,432 and 16,437,580

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Solution

The third proportional to 7,580,432 and 16,437,580 is: 35,643,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580,432 : 16,437,580 = 16,437,580 : x
  2. Step 2: Convert to fraction form
    7,580,432/16,437,580 = 16,437,580/x
  3. Step 3: Cross multiply
    7,580,432x = 16,437,580 × 16,437,580
  4. Step 4: Simplify right side
    7,580,432x = 270,194,036,256,400
  5. Step 5: Solve for x
    x = 270,194,036,256,400/7,580,432
  6. Step 6: Final answer
    x = 35,643,619.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.