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Finding the Third Proportional to 9,824,264 and 21,141,520

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Solution

The third proportional to 9,824,264 and 21,141,520 is: 45,495,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824,264 : 21,141,520 = 21,141,520 : x
  2. Step 2: Convert to fraction form
    9,824,264/21,141,520 = 21,141,520/x
  3. Step 3: Cross multiply
    9,824,264x = 21,141,520 × 21,141,520
  4. Step 4: Simplify right side
    9,824,264x = 446,963,867,910,400
  5. Step 5: Solve for x
    x = 446,963,867,910,400/9,824,264
  6. Step 6: Final answer
    x = 45,495,913.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.