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Finding the Third Proportional to 39,569,829,374 and 85,338,211,612

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Solution

The third proportional to 39,569,829,374 and 85,338,211,612 is: 184,044,522,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,569,829,374 : 85,338,211,612 = 85,338,211,612 : x
  2. Step 2: Convert to fraction form
    39,569,829,374/85,338,211,612 = 85,338,211,612/x
  3. Step 3: Cross multiply
    39,569,829,374x = 85,338,211,612 × 85,338,211,612
  4. Step 4: Simplify right side
    39,569,829,374x = 7,282,610,361,134,491,893,760
  5. Step 5: Solve for x
    x = 7,282,610,361,134,491,893,760/39,569,829,374
  6. Step 6: Final answer
    x = 184,044,522,717.09

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