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Finding the Third Proportional to 7,777,856 and 12,173,376

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Solution

The third proportional to 7,777,856 and 12,173,376 is: 19,052,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777,856 : 12,173,376 = 12,173,376 : x
  2. Step 2: Convert to fraction form
    7,777,856/12,173,376 = 12,173,376/x
  3. Step 3: Cross multiply
    7,777,856x = 12,173,376 × 12,173,376
  4. Step 4: Simplify right side
    7,777,856x = 148,191,083,237,376
  5. Step 5: Solve for x
    x = 148,191,083,237,376/7,777,856
  6. Step 6: Final answer
    x = 19,052,947.66

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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.