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Finding the Third Proportional to 10,603,758,923 and 23,069,221,410

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Solution

The third proportional to 10,603,758,923 and 23,069,221,410 is: 50,188,709,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603,758,923 : 23,069,221,410 = 23,069,221,410 : x
  2. Step 2: Convert to fraction form
    10,603,758,923/23,069,221,410 = 23,069,221,410/x
  3. Step 3: Cross multiply
    10,603,758,923x = 23,069,221,410 × 23,069,221,410
  4. Step 4: Simplify right side
    10,603,758,923x = 532,188,976,463,602,384,896
  5. Step 5: Solve for x
    x = 532,188,976,463,602,384,896/10,603,758,923
  6. Step 6: Final answer
    x = 50,188,709,525.38

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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.