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Finding the Third Proportional to 5,177,710 and 8,104,597

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Solution

The third proportional to 5,177,710 and 8,104,597 is: 12,686,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,710 : 8,104,597 = 8,104,597 : x
  2. Step 2: Convert to fraction form
    5,177,710/8,104,597 = 8,104,597/x
  3. Step 3: Cross multiply
    5,177,710x = 8,104,597 × 8,104,597
  4. Step 4: Simplify right side
    5,177,710x = 65,684,492,532,409
  5. Step 5: Solve for x
    x = 65,684,492,532,409/5,177,710
  6. Step 6: Final answer
    x = 12,686,012.26

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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.