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Finding the Third Proportional to 33,551,586,520 and 52,095,234,300

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Solution

The third proportional to 33,551,586,520 and 52,095,234,300 is: 80,887,782,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,551,586,520 : 52,095,234,300 = 52,095,234,300 : x
  2. Step 2: Convert to fraction form
    33,551,586,520/52,095,234,300 = 52,095,234,300/x
  3. Step 3: Cross multiply
    33,551,586,520x = 52,095,234,300 × 52,095,234,300
  4. Step 4: Simplify right side
    33,551,586,520x = 2,713,913,436,771,896,524,800
  5. Step 5: Solve for x
    x = 2,713,913,436,771,896,524,800/33,551,586,520
  6. Step 6: Final answer
    x = 80,887,782,613.62

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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.