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Finding the Third Proportional to 35,530,613,176 and 79,005,364,182

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Solution

The third proportional to 35,530,613,176 and 79,005,364,182 is: 175,675,199,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530,613,176 : 79,005,364,182 = 79,005,364,182 : x
  2. Step 2: Convert to fraction form
    35,530,613,176/79,005,364,182 = 79,005,364,182/x
  3. Step 3: Cross multiply
    35,530,613,176x = 79,005,364,182 × 79,005,364,182
  4. Step 4: Simplify right side
    35,530,613,176x = 6,241,847,569,530,449,035,264
  5. Step 5: Solve for x
    x = 6,241,847,569,530,449,035,264/35,530,613,176
  6. Step 6: Final answer
    x = 175,675,199,823.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.