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Finding the Third Proportional to 51,918,856 and 80,710,206

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Solution

The third proportional to 51,918,856 and 80,710,206 is: 125,467,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,918,856 : 80,710,206 = 80,710,206 : x
  2. Step 2: Convert to fraction form
    51,918,856/80,710,206 = 80,710,206/x
  3. Step 3: Cross multiply
    51,918,856x = 80,710,206 × 80,710,206
  4. Step 4: Simplify right side
    51,918,856x = 6,514,137,352,562,436
  5. Step 5: Solve for x
    x = 6,514,137,352,562,436/51,918,856
  6. Step 6: Final answer
    x = 125,467,659.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.