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Finding the Third Proportional to 4,512,240 and 9,743,780

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Solution

The third proportional to 4,512,240 and 9,743,780 is: 21,040,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512,240 : 9,743,780 = 9,743,780 : x
  2. Step 2: Convert to fraction form
    4,512,240/9,743,780 = 9,743,780/x
  3. Step 3: Cross multiply
    4,512,240x = 9,743,780 × 9,743,780
  4. Step 4: Simplify right side
    4,512,240x = 94,941,248,688,400
  5. Step 5: Solve for x
    x = 94,941,248,688,400/4,512,240
  6. Step 6: Final answer
    x = 21,040,824.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.