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Finding the Third Proportional to 3,108,456.32 and 6,689,304.63

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Solution

The third proportional to 3,108,456.32 and 6,689,304.63 is: 14,395,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108,456.32 : 6,689,304.63 = 6,689,304.63 : x
  2. Step 2: Convert to fraction form
    3,108,456.32/6,689,304.63 = 6,689,304.63/x
  3. Step 3: Cross multiply
    3,108,456.32x = 6,689,304.63 × 6,689,304.63
  4. Step 4: Simplify right side
    3,108,456.32x = 44,746,796,470,566.77
  5. Step 5: Solve for x
    x = 44,746,796,470,566.77/3,108,456.32
  6. Step 6: Final answer
    x = 14,395,182.66

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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.