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Finding the Third Proportional to 36,696,050,705 and 56,666,367,750

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Solution

The third proportional to 36,696,050,705 and 56,666,367,750 is: 87,504,708,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,696,050,705 : 56,666,367,750 = 56,666,367,750 : x
  2. Step 2: Convert to fraction form
    36,696,050,705/56,666,367,750 = 56,666,367,750/x
  3. Step 3: Cross multiply
    36,696,050,705x = 56,666,367,750 × 56,666,367,750
  4. Step 4: Simplify right side
    36,696,050,705x = 3,211,077,233,978,239,877,120
  5. Step 5: Solve for x
    x = 3,211,077,233,978,239,877,120/36,696,050,705
  6. Step 6: Final answer
    x = 87,504,708,879.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.