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Finding the Third Proportional to 1,729,494,713,887.50 and 3,719,272,435,366.40

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Solution

The third proportional to 1,729,494,713,887.50 and 3,719,272,435,366.40 is: 7,998,282,583,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,494,713,887.50 : 3,719,272,435,366.40 = 3,719,272,435,366.40 : x
  2. Step 2: Convert to fraction form
    1,729,494,713,887.50/3,719,272,435,366.40 = 3,719,272,435,366.40/x
  3. Step 3: Cross multiply
    1,729,494,713,887.50x = 3,719,272,435,366.40 × 3,719,272,435,366.40
  4. Step 4: Simplify right side
    1,729,494,713,887.50x = 13,832,987,448,476,312,159,649,792
  5. Step 5: Solve for x
    x = 13,832,987,448,476,312,159,649,792/1,729,494,713,887.50
  6. Step 6: Final answer
    x = 7,998,282,583,577.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.