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Finding the Third Proportional to 4,189,245 and 9,039,806.63

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Solution

The third proportional to 4,189,245 and 9,039,806.63 is: 19,506,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,245 : 9,039,806.63 = 9,039,806.63 : x
  2. Step 2: Convert to fraction form
    4,189,245/9,039,806.63 = 9,039,806.63/x
  3. Step 3: Cross multiply
    4,189,245x = 9,039,806.63 × 9,039,806.63
  4. Step 4: Simplify right side
    4,189,245x = 81,718,103,817,393.89
  5. Step 5: Solve for x
    x = 81,718,103,817,393.89/4,189,245
  6. Step 6: Final answer
    x = 19,506,642.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.