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Finding the Third Proportional to 9,414,232,511 and 20,483,253,696

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Solution

The third proportional to 9,414,232,511 and 20,483,253,696 is: 44,566,955,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414,232,511 : 20,483,253,696 = 20,483,253,696 : x
  2. Step 2: Convert to fraction form
    9,414,232,511/20,483,253,696 = 20,483,253,696/x
  3. Step 3: Cross multiply
    9,414,232,511x = 20,483,253,696 × 20,483,253,696
  4. Step 4: Simplify right side
    9,414,232,511x = 419,563,681,974,697,656,320
  5. Step 5: Solve for x
    x = 419,563,681,974,697,656,320/9,414,232,511
  6. Step 6: Final answer
    x = 44,566,955,562.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.