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Finding the Third Proportional to 7,679,283.15 and 16,498,229.19

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Solution

The third proportional to 7,679,283.15 and 16,498,229.19 is: 35,444,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679,283.15 : 16,498,229.19 = 16,498,229.19 : x
  2. Step 2: Convert to fraction form
    7,679,283.15/16,498,229.19 = 16,498,229.19/x
  3. Step 3: Cross multiply
    7,679,283.15x = 16,498,229.19 × 16,498,229.19
  4. Step 4: Simplify right side
    7,679,283.15x = 272,191,566,258,834.81
  5. Step 5: Solve for x
    x = 272,191,566,258,834.81/7,679,283.15
  6. Step 6: Final answer
    x = 35,444,918.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.