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Finding the Third Proportional to 21,253,191,219 and 49,202,440,411

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Solution

The third proportional to 21,253,191,219 and 49,202,440,411 is: 113,906,665,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253,191,219 : 49,202,440,411 = 49,202,440,411 : x
  2. Step 2: Convert to fraction form
    21,253,191,219/49,202,440,411 = 49,202,440,411/x
  3. Step 3: Cross multiply
    21,253,191,219x = 49,202,440,411 × 49,202,440,411
  4. Step 4: Simplify right side
    21,253,191,219x = 2,420,880,142,398,005,968,896
  5. Step 5: Solve for x
    x = 2,420,880,142,398,005,968,896/21,253,191,219
  6. Step 6: Final answer
    x = 113,906,665,472.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.