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Finding the Third Proportional to 10,385,830.13 and 22,368,889.13

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Solution

The third proportional to 10,385,830.13 and 22,368,889.13 is: 48,177,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,830.13 : 22,368,889.13 = 22,368,889.13 : x
  2. Step 2: Convert to fraction form
    10,385,830.13/22,368,889.13 = 22,368,889.13/x
  3. Step 3: Cross multiply
    10,385,830.13x = 22,368,889.13 × 22,368,889.13
  4. Step 4: Simplify right side
    10,385,830.13x = 500,367,200,686,543.25
  5. Step 5: Solve for x
    x = 500,367,200,686,543.25/10,385,830.13
  6. Step 6: Final answer
    x = 48,177,872.61

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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.