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Finding the Third Proportional to 6,756,577 and 10,193,185

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Solution

The third proportional to 6,756,577 and 10,193,185 is: 15,377,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756,577 : 10,193,185 = 10,193,185 : x
  2. Step 2: Convert to fraction form
    6,756,577/10,193,185 = 10,193,185/x
  3. Step 3: Cross multiply
    6,756,577x = 10,193,185 × 10,193,185
  4. Step 4: Simplify right side
    6,756,577x = 103,901,020,444,225
  5. Step 5: Solve for x
    x = 103,901,020,444,225/6,756,577
  6. Step 6: Final answer
    x = 15,377,760.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.