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Finding the Third Proportional to 10,226,448,968 and 22,006,122,832

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Solution

The third proportional to 10,226,448,968 and 22,006,122,832 is: 47,354,604,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,448,968 : 22,006,122,832 = 22,006,122,832 : x
  2. Step 2: Convert to fraction form
    10,226,448,968/22,006,122,832 = 22,006,122,832/x
  3. Step 3: Cross multiply
    10,226,448,968x = 22,006,122,832 × 22,006,122,832
  4. Step 4: Simplify right side
    10,226,448,968x = 484,269,442,097,071,718,400
  5. Step 5: Solve for x
    x = 484,269,442,097,071,718,400/10,226,448,968
  6. Step 6: Final answer
    x = 47,354,604,087.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.