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Finding the Third Proportional to 9,954,753,655 and 21,329,416,977

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Solution

The third proportional to 9,954,753,655 and 21,329,416,977 is: 45,701,184,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954,753,655 : 21,329,416,977 = 21,329,416,977 : x
  2. Step 2: Convert to fraction form
    9,954,753,655/21,329,416,977 = 21,329,416,977/x
  3. Step 3: Cross multiply
    9,954,753,655x = 21,329,416,977 × 21,329,416,977
  4. Step 4: Simplify right side
    9,954,753,655x = 454,944,028,578,735,849,472
  5. Step 5: Solve for x
    x = 454,944,028,578,735,849,472/9,954,753,655
  6. Step 6: Final answer
    x = 45,701,184,011.74

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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.