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Finding the Third Proportional to 12,643,014,064,340 and 20,117,520,792,427

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Solution

The third proportional to 12,643,014,064,340 and 20,117,520,792,427 is: 32,010,930,366,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643,014,064,340 : 20,117,520,792,427 = 20,117,520,792,427 : x
  2. Step 2: Convert to fraction form
    12,643,014,064,340/20,117,520,792,427 = 20,117,520,792,427/x
  3. Step 3: Cross multiply
    12,643,014,064,340x = 20,117,520,792,427 × 20,117,520,792,427
  4. Step 4: Simplify right side
    12,643,014,064,340x = 404,714,642,833,732,683,018,797,056
  5. Step 5: Solve for x
    x = 404,714,642,833,732,683,018,797,056/12,643,014,064,340
  6. Step 6: Final answer
    x = 32,010,930,366,299.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.