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Finding the Third Proportional to 10,045,672 and 22,002,296

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Solution

The third proportional to 10,045,672 and 22,002,296 is: 48,190,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045,672 : 22,002,296 = 22,002,296 : x
  2. Step 2: Convert to fraction form
    10,045,672/22,002,296 = 22,002,296/x
  3. Step 3: Cross multiply
    10,045,672x = 22,002,296 × 22,002,296
  4. Step 4: Simplify right side
    10,045,672x = 484,101,029,271,616
  5. Step 5: Solve for x
    x = 484,101,029,271,616/10,045,672
  6. Step 6: Final answer
    x = 48,190,009.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.