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Finding the Third Proportional to 9,750,564 and 20,999,520

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Solution

The third proportional to 9,750,564 and 20,999,520 is: 45,226,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750,564 : 20,999,520 = 20,999,520 : x
  2. Step 2: Convert to fraction form
    9,750,564/20,999,520 = 20,999,520/x
  3. Step 3: Cross multiply
    9,750,564x = 20,999,520 × 20,999,520
  4. Step 4: Simplify right side
    9,750,564x = 440,979,840,230,400
  5. Step 5: Solve for x
    x = 440,979,840,230,400/9,750,564
  6. Step 6: Final answer
    x = 45,226,085.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.