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Finding the Third Proportional to 9,954,753,653.25 and 21,329,416,972.97

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Solution

The third proportional to 9,954,753,653.25 and 21,329,416,972.97 is: 45,701,184,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954,753,653.25 : 21,329,416,972.97 = 21,329,416,972.97 : x
  2. Step 2: Convert to fraction form
    9,954,753,653.25/21,329,416,972.97 = 21,329,416,972.97/x
  3. Step 3: Cross multiply
    9,954,753,653.25x = 21,329,416,972.97 × 21,329,416,972.97
  4. Step 4: Simplify right side
    9,954,753,653.25x = 454,944,028,406,778,101,760
  5. Step 5: Solve for x
    x = 454,944,028,406,778,101,760/9,954,753,653.25
  6. Step 6: Final answer
    x = 45,701,184,002.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.