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Finding the Third Proportional to 6,846,720 and 10,596,006

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Solution

The third proportional to 6,846,720 and 10,596,006 is: 16,398,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846,720 : 10,596,006 = 10,596,006 : x
  2. Step 2: Convert to fraction form
    6,846,720/10,596,006 = 10,596,006/x
  3. Step 3: Cross multiply
    6,846,720x = 10,596,006 × 10,596,006
  4. Step 4: Simplify right side
    6,846,720x = 112,275,343,152,036
  5. Step 5: Solve for x
    x = 112,275,343,152,036/6,846,720
  6. Step 6: Final answer
    x = 16,398,413.13

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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.