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Finding the Third Proportional to 9,722,516 and 20,952,320

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Solution

The third proportional to 9,722,516 and 20,952,320 is: 45,152,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,516 : 20,952,320 = 20,952,320 : x
  2. Step 2: Convert to fraction form
    9,722,516/20,952,320 = 20,952,320/x
  3. Step 3: Cross multiply
    9,722,516x = 20,952,320 × 20,952,320
  4. Step 4: Simplify right side
    9,722,516x = 438,999,713,382,400
  5. Step 5: Solve for x
    x = 438,999,713,382,400/9,722,516
  6. Step 6: Final answer
    x = 45,152,891.84

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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.