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Finding the Third Proportional to 31,610,744,082 and 68,259,692,574

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Solution

The third proportional to 31,610,744,082 and 68,259,692,574 is: 147,398,796,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610,744,082 : 68,259,692,574 = 68,259,692,574 : x
  2. Step 2: Convert to fraction form
    31,610,744,082/68,259,692,574 = 68,259,692,574/x
  3. Step 3: Cross multiply
    31,610,744,082x = 68,259,692,574 × 68,259,692,574
  4. Step 4: Simplify right side
    31,610,744,082x = 4,659,385,630,296,990,810,112
  5. Step 5: Solve for x
    x = 4,659,385,630,296,990,810,112/31,610,744,082
  6. Step 6: Final answer
    x = 147,398,796,377.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.