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Finding the Third Proportional to 6,758,963.37 and 10,472,409.63

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Solution

The third proportional to 6,758,963.37 and 10,472,409.63 is: 16,226,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758,963.37 : 10,472,409.63 = 10,472,409.63 : x
  2. Step 2: Convert to fraction form
    6,758,963.37/10,472,409.63 = 10,472,409.63/x
  3. Step 3: Cross multiply
    6,758,963.37x = 10,472,409.63 × 10,472,409.63
  4. Step 4: Simplify right side
    6,758,963.37x = 109,671,363,517,413.58
  5. Step 5: Solve for x
    x = 109,671,363,517,413.58/6,758,963.37
  6. Step 6: Final answer
    x = 16,226,062.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.