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Finding the Third Proportional to 4,415,181,575 and 6,786,450,633

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Solution

The third proportional to 4,415,181,575 and 6,786,450,633 is: 10,431,261,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415,181,575 : 6,786,450,633 = 6,786,450,633 : x
  2. Step 2: Convert to fraction form
    4,415,181,575/6,786,450,633 = 6,786,450,633/x
  3. Step 3: Cross multiply
    4,415,181,575x = 6,786,450,633 × 6,786,450,633
  4. Step 4: Simplify right side
    4,415,181,575x = 46,055,912,194,146,099,200
  5. Step 5: Solve for x
    x = 46,055,912,194,146,099,200/4,415,181,575
  6. Step 6: Final answer
    x = 10,431,261,186.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.