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Finding the Third Proportional to 2,411,686.50 and 5,021,844

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Solution

The third proportional to 2,411,686.50 and 5,021,844 is: 10,456,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,686.50 : 5,021,844 = 5,021,844 : x
  2. Step 2: Convert to fraction form
    2,411,686.50/5,021,844 = 5,021,844/x
  3. Step 3: Cross multiply
    2,411,686.50x = 5,021,844 × 5,021,844
  4. Step 4: Simplify right side
    2,411,686.50x = 25,218,917,160,336
  5. Step 5: Solve for x
    x = 25,218,917,160,336/2,411,686.50
  6. Step 6: Final answer
    x = 10,456,963.27

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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.