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Finding the Third Proportional to 39,045,214,238 and 54,984,265,532

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Solution

The third proportional to 39,045,214,238 and 54,984,265,532 is: 77,429,962,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,045,214,238 : 54,984,265,532 = 54,984,265,532 : x
  2. Step 2: Convert to fraction form
    39,045,214,238/54,984,265,532 = 54,984,265,532/x
  3. Step 3: Cross multiply
    39,045,214,238x = 54,984,265,532 × 54,984,265,532
  4. Step 4: Simplify right side
    39,045,214,238x = 3,023,269,456,093,483,368,448
  5. Step 5: Solve for x
    x = 3,023,269,456,093,483,368,448/39,045,214,238
  6. Step 6: Final answer
    x = 77,429,962,034.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.