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Finding the Third Proportional to 5,448,229 and 11,461,119

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Solution

The third proportional to 5,448,229 and 11,461,119 is: 24,110,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448,229 : 11,461,119 = 11,461,119 : x
  2. Step 2: Convert to fraction form
    5,448,229/11,461,119 = 11,461,119/x
  3. Step 3: Cross multiply
    5,448,229x = 11,461,119 × 11,461,119
  4. Step 4: Simplify right side
    5,448,229x = 131,357,248,732,161
  5. Step 5: Solve for x
    x = 131,357,248,732,161/5,448,229
  6. Step 6: Final answer
    x = 24,110,082.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.