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Finding the Third Proportional to 7,758,007 and 16,461,661

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Solution

The third proportional to 7,758,007 and 16,461,661 is: 34,929,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,007 : 16,461,661 = 16,461,661 : x
  2. Step 2: Convert to fraction form
    7,758,007/16,461,661 = 16,461,661/x
  3. Step 3: Cross multiply
    7,758,007x = 16,461,661 × 16,461,661
  4. Step 4: Simplify right side
    7,758,007x = 270,986,282,878,921
  5. Step 5: Solve for x
    x = 270,986,282,878,921/7,758,007
  6. Step 6: Final answer
    x = 34,929,883.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.