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Finding the Third Proportional to 22,211,263.13 and 49,526,614.69

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Solution

The third proportional to 22,211,263.13 and 49,526,614.69 is: 110,434,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,211,263.13 : 49,526,614.69 = 49,526,614.69 : x
  2. Step 2: Convert to fraction form
    22,211,263.13/49,526,614.69 = 49,526,614.69/x
  3. Step 3: Cross multiply
    22,211,263.13x = 49,526,614.69 × 49,526,614.69
  4. Step 4: Simplify right side
    22,211,263.13x = 2,452,885,562,404,090.50
  5. Step 5: Solve for x
    x = 2,452,885,562,404,090.50/22,211,263.13
  6. Step 6: Final answer
    x = 110,434,312.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.