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Finding the Third Proportional to 10,226,422.13 and 22,377,039.75

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Solution

The third proportional to 10,226,422.13 and 22,377,039.75 is: 48,964,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,422.13 : 22,377,039.75 = 22,377,039.75 : x
  2. Step 2: Convert to fraction form
    10,226,422.13/22,377,039.75 = 22,377,039.75/x
  3. Step 3: Cross multiply
    10,226,422.13x = 22,377,039.75 × 22,377,039.75
  4. Step 4: Simplify right side
    10,226,422.13x = 500,731,907,973,080.06
  5. Step 5: Solve for x
    x = 500,731,907,973,080.06/10,226,422.13
  6. Step 6: Final answer
    x = 48,964,525.60

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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.