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Finding the Third Proportional to 3,161,737.55 and 6,803,020.41

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Solution

The third proportional to 3,161,737.55 and 6,803,020.41 is: 14,637,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161,737.55 : 6,803,020.41 = 6,803,020.41 : x
  2. Step 2: Convert to fraction form
    3,161,737.55/6,803,020.41 = 6,803,020.41/x
  3. Step 3: Cross multiply
    3,161,737.55x = 6,803,020.41 × 6,803,020.41
  4. Step 4: Simplify right side
    3,161,737.55x = 46,281,086,647,853.91
  5. Step 5: Solve for x
    x = 46,281,086,647,853.91/3,161,737.55
  6. Step 6: Final answer
    x = 14,637,864.77

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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.