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Finding the Third Proportional to 2,128,275,314 and 4,972,611,449

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Solution

The third proportional to 2,128,275,314 and 4,972,611,449 is: 11,618,264,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,275,314 : 4,972,611,449 = 4,972,611,449 : x
  2. Step 2: Convert to fraction form
    2,128,275,314/4,972,611,449 = 4,972,611,449/x
  3. Step 3: Cross multiply
    2,128,275,314x = 4,972,611,449 × 4,972,611,449
  4. Step 4: Simplify right side
    2,128,275,314x = 24,726,864,622,725,877,760
  5. Step 5: Solve for x
    x = 24,726,864,622,725,877,760/2,128,275,314
  6. Step 6: Final answer
    x = 11,618,264,075.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.