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Finding the Third Proportional to 10,094,953.50 and 22,016,961

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Solution

The third proportional to 10,094,953.50 and 22,016,961 is: 48,018,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094,953.50 : 22,016,961 = 22,016,961 : x
  2. Step 2: Convert to fraction form
    10,094,953.50/22,016,961 = 22,016,961/x
  3. Step 3: Cross multiply
    10,094,953.50x = 22,016,961 × 22,016,961
  4. Step 4: Simplify right side
    10,094,953.50x = 484,746,571,675,521
  5. Step 5: Solve for x
    x = 484,746,571,675,521/10,094,953.50
  6. Step 6: Final answer
    x = 48,018,702.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.