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Finding the Third Proportional to 31,566,180,555 and 68,689,280,478

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Solution

The third proportional to 31,566,180,555 and 68,689,280,478 is: 149,470,641,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566,180,555 : 68,689,280,478 = 68,689,280,478 : x
  2. Step 2: Convert to fraction form
    31,566,180,555/68,689,280,478 = 68,689,280,478/x
  3. Step 3: Cross multiply
    31,566,180,555x = 68,689,280,478 × 68,689,280,478
  4. Step 4: Simplify right side
    31,566,180,555x = 4,718,217,252,585,351,938,048
  5. Step 5: Solve for x
    x = 4,718,217,252,585,351,938,048/31,566,180,555
  6. Step 6: Final answer
    x = 149,470,641,351.89

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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.