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Finding the Third Proportional to 31,586,267,990,267 and 68,780,030,510,302

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Solution

The third proportional to 31,586,267,990,267 and 68,780,030,510,302 is: 149,770,545,809,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586,267,990,267 : 68,780,030,510,302 = 68,780,030,510,302 : x
  2. Step 2: Convert to fraction form
    31,586,267,990,267/68,780,030,510,302 = 68,780,030,510,302/x
  3. Step 3: Cross multiply
    31,586,267,990,267x = 68,780,030,510,302 × 68,780,030,510,302
  4. Step 4: Simplify right side
    31,586,267,990,267x = 4,730,692,596,998,073,776,445,849,600
  5. Step 5: Solve for x
    x = 4,730,692,596,998,073,776,445,849,600/31,586,267,990,267
  6. Step 6: Final answer
    x = 149,770,545,809,837.06

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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.