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Finding the Third Proportional to 3,362,406.19 and 6,964,064.86

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Solution

The third proportional to 3,362,406.19 and 6,964,064.86 is: 14,423,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362,406.19 : 6,964,064.86 = 6,964,064.86 : x
  2. Step 2: Convert to fraction form
    3,362,406.19/6,964,064.86 = 6,964,064.86/x
  3. Step 3: Cross multiply
    3,362,406.19x = 6,964,064.86 × 6,964,064.86
  4. Step 4: Simplify right side
    3,362,406.19x = 48,498,199,365,581.74
  5. Step 5: Solve for x
    x = 48,498,199,365,581.74/3,362,406.19
  6. Step 6: Final answer
    x = 14,423,658.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.