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Finding the Third Proportional to 1,729,494,713,890 and 3,719,272,435,371

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Solution

The third proportional to 1,729,494,713,890 and 3,719,272,435,371 is: 7,998,282,583,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,494,713,890 : 3,719,272,435,371 = 3,719,272,435,371 : x
  2. Step 2: Convert to fraction form
    1,729,494,713,890/3,719,272,435,371 = 3,719,272,435,371/x
  3. Step 3: Cross multiply
    1,729,494,713,890x = 3,719,272,435,371 × 3,719,272,435,371
  4. Step 4: Simplify right side
    1,729,494,713,890x = 13,832,987,448,510,530,164,097,024
  5. Step 5: Solve for x
    x = 13,832,987,448,510,530,164,097,024/1,729,494,713,890
  6. Step 6: Final answer
    x = 7,998,282,583,586.05

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Why These Related Problems?

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