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Finding the Third Proportional to 10,826,536 and 22,545,872

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Solution

The third proportional to 10,826,536 and 22,545,872 is: 46,950,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826,536 : 22,545,872 = 22,545,872 : x
  2. Step 2: Convert to fraction form
    10,826,536/22,545,872 = 22,545,872/x
  3. Step 3: Cross multiply
    10,826,536x = 22,545,872 × 22,545,872
  4. Step 4: Simplify right side
    10,826,536x = 508,316,344,240,384
  5. Step 5: Solve for x
    x = 508,316,344,240,384/10,826,536
  6. Step 6: Final answer
    x = 46,950,967.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.