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Finding the Third Proportional to 31,566,180,571 and 68,689,280,515

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Solution

The third proportional to 31,566,180,571 and 68,689,280,515 is: 149,470,641,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566,180,571 : 68,689,280,515 = 68,689,280,515 : x
  2. Step 2: Convert to fraction form
    31,566,180,571/68,689,280,515 = 68,689,280,515/x
  3. Step 3: Cross multiply
    31,566,180,571x = 68,689,280,515 × 68,689,280,515
  4. Step 4: Simplify right side
    31,566,180,571x = 4,718,217,257,668,358,701,056
  5. Step 5: Solve for x
    x = 4,718,217,257,668,358,701,056/31,566,180,571
  6. Step 6: Final answer
    x = 149,470,641,437.15

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Why These Related Problems?

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