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Finding the Third Proportional to 31,566,180,566 and 68,689,280,498

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Solution

The third proportional to 31,566,180,566 and 68,689,280,498 is: 149,470,641,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566,180,566 : 68,689,280,498 = 68,689,280,498 : x
  2. Step 2: Convert to fraction form
    31,566,180,566/68,689,280,498 = 68,689,280,498/x
  3. Step 3: Cross multiply
    31,566,180,566x = 68,689,280,498 × 68,689,280,498
  4. Step 4: Simplify right side
    31,566,180,566x = 4,718,217,255,332,923,047,936
  5. Step 5: Solve for x
    x = 4,718,217,255,332,923,047,936/31,566,180,566
  6. Step 6: Final answer
    x = 149,470,641,386.84

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