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Finding the Third Proportional to 31,566,181,278 and 68,689,281,942

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Solution

The third proportional to 31,566,181,278 and 68,689,281,942 is: 149,470,644,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566,181,278 : 68,689,281,942 = 68,689,281,942 : x
  2. Step 2: Convert to fraction form
    31,566,181,278/68,689,281,942 = 68,689,281,942/x
  3. Step 3: Cross multiply
    31,566,181,278x = 68,689,281,942 × 68,689,281,942
  4. Step 4: Simplify right side
    31,566,181,278x = 4,718,217,453,707,567,038,464
  5. Step 5: Solve for x
    x = 4,718,217,453,707,567,038,464/31,566,181,278
  6. Step 6: Final answer
    x = 149,470,644,299.82

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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.