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Finding the Third Proportional to 1,447,975,456 and 3,069,694,832

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Solution

The third proportional to 1,447,975,456 and 3,069,694,832 is: 6,507,725,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,975,456 : 3,069,694,832 = 3,069,694,832 : x
  2. Step 2: Convert to fraction form
    1,447,975,456/3,069,694,832 = 3,069,694,832/x
  3. Step 3: Cross multiply
    1,447,975,456x = 3,069,694,832 × 3,069,694,832
  4. Step 4: Simplify right side
    1,447,975,456x = 9,423,026,361,607,507,968
  5. Step 5: Solve for x
    x = 9,423,026,361,607,507,968/1,447,975,456
  6. Step 6: Final answer
    x = 6,507,725,198.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.