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Finding the Third Proportional to 5,474,084,642 and 8,480,075,915

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Solution

The third proportional to 5,474,084,642 and 8,480,075,915 is: 13,136,751,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474,084,642 : 8,480,075,915 = 8,480,075,915 : x
  2. Step 2: Convert to fraction form
    5,474,084,642/8,480,075,915 = 8,480,075,915/x
  3. Step 3: Cross multiply
    5,474,084,642x = 8,480,075,915 × 8,480,075,915
  4. Step 4: Simplify right side
    5,474,084,642x = 71,911,687,524,163,084,288
  5. Step 5: Solve for x
    x = 71,911,687,524,163,084,288/5,474,084,642
  6. Step 6: Final answer
    x = 13,136,751,114.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.