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Finding the Third Proportional to 51,918,820 and 80,710,152

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Solution

The third proportional to 51,918,820 and 80,710,152 is: 125,467,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,918,820 : 80,710,152 = 80,710,152 : x
  2. Step 2: Convert to fraction form
    51,918,820/80,710,152 = 80,710,152/x
  3. Step 3: Cross multiply
    51,918,820x = 80,710,152 × 80,710,152
  4. Step 4: Simplify right side
    51,918,820x = 6,514,128,635,863,104
  5. Step 5: Solve for x
    x = 6,514,128,635,863,104/51,918,820
  6. Step 6: Final answer
    x = 125,467,578.73

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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.