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Finding the Third Proportional to 31,566,181,273 and 68,689,281,932

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Solution

The third proportional to 31,566,181,273 and 68,689,281,932 is: 149,470,644,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566,181,273 : 68,689,281,932 = 68,689,281,932 : x
  2. Step 2: Convert to fraction form
    31,566,181,273/68,689,281,932 = 68,689,281,932/x
  3. Step 3: Cross multiply
    31,566,181,273x = 68,689,281,932 × 68,689,281,932
  4. Step 4: Simplify right side
    31,566,181,273x = 4,718,217,452,333,781,483,520
  5. Step 5: Solve for x
    x = 4,718,217,452,333,781,483,520/31,566,181,273
  6. Step 6: Final answer
    x = 149,470,644,279.98

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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.