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Finding the Third Proportional to 7,685,566 and 16,558,754

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Solution

The third proportional to 7,685,566 and 16,558,754 is: 35,676,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685,566 : 16,558,754 = 16,558,754 : x
  2. Step 2: Convert to fraction form
    7,685,566/16,558,754 = 16,558,754/x
  3. Step 3: Cross multiply
    7,685,566x = 16,558,754 × 16,558,754
  4. Step 4: Simplify right side
    7,685,566x = 274,192,334,032,516
  5. Step 5: Solve for x
    x = 274,192,334,032,516/7,685,566
  6. Step 6: Final answer
    x = 35,676,270.82

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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.