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Finding the Third Proportional to 56,185,392,613.50 and 81,178,189,785

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Solution

The third proportional to 56,185,392,613.50 and 81,178,189,785 is: 117,288,465,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,185,392,613.50 : 81,178,189,785 = 81,178,189,785 : x
  2. Step 2: Convert to fraction form
    56,185,392,613.50/81,178,189,785 = 81,178,189,785/x
  3. Step 3: Cross multiply
    56,185,392,613.50x = 81,178,189,785 × 81,178,189,785
  4. Step 4: Simplify right side
    56,185,392,613.50x = 6,589,898,496,769,478,623,232
  5. Step 5: Solve for x
    x = 6,589,898,496,769,478,623,232/56,185,392,613.50
  6. Step 6: Final answer
    x = 117,288,465,742.36

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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.