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Finding the Third Proportional to 9,456,600 and 14,976,594

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Solution

The third proportional to 9,456,600 and 14,976,594 is: 23,718,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456,600 : 14,976,594 = 14,976,594 : x
  2. Step 2: Convert to fraction form
    9,456,600/14,976,594 = 14,976,594/x
  3. Step 3: Cross multiply
    9,456,600x = 14,976,594 × 14,976,594
  4. Step 4: Simplify right side
    9,456,600x = 224,298,367,840,836
  5. Step 5: Solve for x
    x = 224,298,367,840,836/9,456,600
  6. Step 6: Final answer
    x = 23,718,711.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.