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Finding the Third Proportional to 66,596,265,835 and 95,722,209,279

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Solution

The third proportional to 66,596,265,835 and 95,722,209,279 is: 137,586,413,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,596,265,835 : 95,722,209,279 = 95,722,209,279 : x
  2. Step 2: Convert to fraction form
    66,596,265,835/95,722,209,279 = 95,722,209,279/x
  3. Step 3: Cross multiply
    66,596,265,835x = 95,722,209,279 × 95,722,209,279
  4. Step 4: Simplify right side
    66,596,265,835x = 9,162,741,349,252,673,306,624
  5. Step 5: Solve for x
    x = 9,162,741,349,252,673,306,624/66,596,265,835
  6. Step 6: Final answer
    x = 137,586,413,207.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.