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Finding the Third Proportional to 38,767,364,316 and 84,327,174,468

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Solution

The third proportional to 38,767,364,316 and 84,327,174,468 is: 183,429,347,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767,364,316 : 84,327,174,468 = 84,327,174,468 : x
  2. Step 2: Convert to fraction form
    38,767,364,316/84,327,174,468 = 84,327,174,468/x
  3. Step 3: Cross multiply
    38,767,364,316x = 84,327,174,468 × 84,327,174,468
  4. Step 4: Simplify right side
    38,767,364,316x = 7,111,072,353,756,511,207,424
  5. Step 5: Solve for x
    x = 7,111,072,353,756,511,207,424/38,767,364,316
  6. Step 6: Final answer
    x = 183,429,347,834.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.