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Finding the Third Proportional to 12,643,014,064,342 and 20,117,520,792,429

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Solution

The third proportional to 12,643,014,064,342 and 20,117,520,792,429 is: 32,010,930,366,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643,014,064,342 : 20,117,520,792,429 = 20,117,520,792,429 : x
  2. Step 2: Convert to fraction form
    12,643,014,064,342/20,117,520,792,429 = 20,117,520,792,429/x
  3. Step 3: Cross multiply
    12,643,014,064,342x = 20,117,520,792,429 × 20,117,520,792,429
  4. Step 4: Simplify right side
    12,643,014,064,342x = 404,714,642,833,813,153,526,054,912
  5. Step 5: Solve for x
    x = 404,714,642,833,813,153,526,054,912/12,643,014,064,342
  6. Step 6: Final answer
    x = 32,010,930,366,300.78

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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.