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Finding the Third Proportional to 11,197,440 and 24,564,384

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Solution

The third proportional to 11,197,440 and 24,564,384 is: 53,888,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197,440 : 24,564,384 = 24,564,384 : x
  2. Step 2: Convert to fraction form
    11,197,440/24,564,384 = 24,564,384/x
  3. Step 3: Cross multiply
    11,197,440x = 24,564,384 × 24,564,384
  4. Step 4: Simplify right side
    11,197,440x = 603,408,961,299,456
  5. Step 5: Solve for x
    x = 603,408,961,299,456/11,197,440
  6. Step 6: Final answer
    x = 53,888,117.40

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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.