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Finding the Third Proportional to 19,178,637,740,451 and 39,373,990,938,414

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Solution

The third proportional to 19,178,637,740,451 and 39,373,990,938,414 is: 80,835,311,840,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,178,637,740,451 : 39,373,990,938,414 = 39,373,990,938,414 : x
  2. Step 2: Convert to fraction form
    19,178,637,740,451/39,373,990,938,414 = 39,373,990,938,414/x
  3. Step 3: Cross multiply
    19,178,637,740,451x = 39,373,990,938,414 × 39,373,990,938,414
  4. Step 4: Simplify right side
    19,178,637,740,451x = 1,550,311,162,418,307,729,109,024,768
  5. Step 5: Solve for x
    x = 1,550,311,162,418,307,729,109,024,768/19,178,637,740,451
  6. Step 6: Final answer
    x = 80,835,311,840,133.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.