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Finding the Third Proportional to 51,918,816 and 80,710,146

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Solution

The third proportional to 51,918,816 and 80,710,146 is: 125,467,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,918,816 : 80,710,146 = 80,710,146 : x
  2. Step 2: Convert to fraction form
    51,918,816/80,710,146 = 80,710,146/x
  3. Step 3: Cross multiply
    51,918,816x = 80,710,146 × 80,710,146
  4. Step 4: Simplify right side
    51,918,816x = 6,514,127,667,341,316
  5. Step 5: Solve for x
    x = 6,514,127,667,341,316/51,918,816
  6. Step 6: Final answer
    x = 125,467,569.74

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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.