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Finding the Third Proportional to 12,839,843,101 and 26,040,713,354

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Solution

The third proportional to 12,839,843,101 and 26,040,713,354 is: 52,813,632,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839,843,101 : 26,040,713,354 = 26,040,713,354 : x
  2. Step 2: Convert to fraction form
    12,839,843,101/26,040,713,354 = 26,040,713,354/x
  3. Step 3: Cross multiply
    12,839,843,101x = 26,040,713,354 × 26,040,713,354
  4. Step 4: Simplify right side
    12,839,843,101x = 678,118,751,985,193,975,808
  5. Step 5: Solve for x
    x = 678,118,751,985,193,975,808/12,839,843,101
  6. Step 6: Final answer
    x = 52,813,632,273.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.