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Finding the Third Proportional to 6,553,278 and 10,257,597

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Solution

The third proportional to 6,553,278 and 10,257,597 is: 16,055,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,278 : 10,257,597 = 10,257,597 : x
  2. Step 2: Convert to fraction form
    6,553,278/10,257,597 = 10,257,597/x
  3. Step 3: Cross multiply
    6,553,278x = 10,257,597 × 10,257,597
  4. Step 4: Simplify right side
    6,553,278x = 105,218,296,214,409
  5. Step 5: Solve for x
    x = 105,218,296,214,409/6,553,278
  6. Step 6: Final answer
    x = 16,055,826.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.