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Finding the Third Proportional to 10,230,034.22 and 22,162,798.13

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Solution

The third proportional to 10,230,034.22 and 22,162,798.13 is: 48,014,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230,034.22 : 22,162,798.13 = 22,162,798.13 : x
  2. Step 2: Convert to fraction form
    10,230,034.22/22,162,798.13 = 22,162,798.13/x
  3. Step 3: Cross multiply
    10,230,034.22x = 22,162,798.13 × 22,162,798.13
  4. Step 4: Simplify right side
    10,230,034.22x = 491,189,620,729,503.50
  5. Step 5: Solve for x
    x = 491,189,620,729,503.50/10,230,034.22
  6. Step 6: Final answer
    x = 48,014,465.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.