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Finding the Third Proportional to 27,768,328,314 and 42,302,179,125

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Solution

The third proportional to 27,768,328,314 and 42,302,179,125 is: 64,442,999,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768,328,314 : 42,302,179,125 = 42,302,179,125 : x
  2. Step 2: Convert to fraction form
    27,768,328,314/42,302,179,125 = 42,302,179,125/x
  3. Step 3: Cross multiply
    27,768,328,314x = 42,302,179,125 × 42,302,179,125
  4. Step 4: Simplify right side
    27,768,328,314x = 1,789,474,358,723,585,769,472
  5. Step 5: Solve for x
    x = 1,789,474,358,723,585,769,472/27,768,328,314
  6. Step 6: Final answer
    x = 64,442,999,178.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.