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Finding the Third Proportional to 4,211,722.13 and 6,159,632.63

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Solution

The third proportional to 4,211,722.13 and 6,159,632.63 is: 9,008,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,722.13 : 6,159,632.63 = 6,159,632.63 : x
  2. Step 2: Convert to fraction form
    4,211,722.13/6,159,632.63 = 6,159,632.63/x
  3. Step 3: Cross multiply
    4,211,722.13x = 6,159,632.63 × 6,159,632.63
  4. Step 4: Simplify right side
    4,211,722.13x = 37,941,074,074,964.39
  5. Step 5: Solve for x
    x = 37,941,074,074,964.39/4,211,722.13
  6. Step 6: Final answer
    x = 9,008,446.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.