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Finding the Third Proportional to 2,306,044.69 and 5,046,477.19

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Solution

The third proportional to 2,306,044.69 and 5,046,477.19 is: 11,043,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306,044.69 : 5,046,477.19 = 5,046,477.19 : x
  2. Step 2: Convert to fraction form
    2,306,044.69/5,046,477.19 = 5,046,477.19/x
  3. Step 3: Cross multiply
    2,306,044.69x = 5,046,477.19 × 5,046,477.19
  4. Step 4: Simplify right side
    2,306,044.69x = 25,466,932,003,957.91
  5. Step 5: Solve for x
    x = 25,466,932,003,957.91/2,306,044.69
  6. Step 6: Final answer
    x = 11,043,555.29

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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.