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Finding the Third Proportional to 11,197,444 and 24,564,392

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Solution

The third proportional to 11,197,444 and 24,564,392 is: 53,888,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197,444 : 24,564,392 = 24,564,392 : x
  2. Step 2: Convert to fraction form
    11,197,444/24,564,392 = 24,564,392/x
  3. Step 3: Cross multiply
    11,197,444x = 24,564,392 × 24,564,392
  4. Step 4: Simplify right side
    11,197,444x = 603,409,354,329,664
  5. Step 5: Solve for x
    x = 603,409,354,329,664/11,197,444
  6. Step 6: Final answer
    x = 53,888,133.25

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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.