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Finding the Third Proportional to 7,661,715 and 16,257,402

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Solution

The third proportional to 7,661,715 and 16,257,402 is: 34,496,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661,715 : 16,257,402 = 16,257,402 : x
  2. Step 2: Convert to fraction form
    7,661,715/16,257,402 = 16,257,402/x
  3. Step 3: Cross multiply
    7,661,715x = 16,257,402 × 16,257,402
  4. Step 4: Simplify right side
    7,661,715x = 264,303,119,789,604
  5. Step 5: Solve for x
    x = 264,303,119,789,604/7,661,715
  6. Step 6: Final answer
    x = 34,496,600.28

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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.