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Finding the Third Proportional to 10,525,680 and 22,675,536

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Solution

The third proportional to 10,525,680 and 22,675,536 is: 48,850,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525,680 : 22,675,536 = 22,675,536 : x
  2. Step 2: Convert to fraction form
    10,525,680/22,675,536 = 22,675,536/x
  3. Step 3: Cross multiply
    10,525,680x = 22,675,536 × 22,675,536
  4. Step 4: Simplify right side
    10,525,680x = 514,179,932,887,296
  5. Step 5: Solve for x
    x = 514,179,932,887,296/10,525,680
  6. Step 6: Final answer
    x = 48,850,044.17

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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.