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Finding the Third Proportional to 9,722,512 and 20,952,312

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Solution

The third proportional to 9,722,512 and 20,952,312 is: 45,152,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,512 : 20,952,312 = 20,952,312 : x
  2. Step 2: Convert to fraction form
    9,722,512/20,952,312 = 20,952,312/x
  3. Step 3: Cross multiply
    9,722,512x = 20,952,312 × 20,952,312
  4. Step 4: Simplify right side
    9,722,512x = 438,999,378,145,344
  5. Step 5: Solve for x
    x = 438,999,378,145,344/9,722,512
  6. Step 6: Final answer
    x = 45,152,875.94

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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.