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Finding the Third Proportional to 39,569,829,381 and 85,338,211,626

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Solution

The third proportional to 39,569,829,381 and 85,338,211,626 is: 184,044,522,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,569,829,381 : 85,338,211,626 = 85,338,211,626 : x
  2. Step 2: Convert to fraction form
    39,569,829,381/85,338,211,626 = 85,338,211,626/x
  3. Step 3: Cross multiply
    39,569,829,381x = 85,338,211,626 × 85,338,211,626
  4. Step 4: Simplify right side
    39,569,829,381x = 7,282,610,363,523,961,716,736
  5. Step 5: Solve for x
    x = 7,282,610,363,523,961,716,736/39,569,829,381
  6. Step 6: Final answer
    x = 184,044,522,744.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.