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Finding the Third Proportional to 4,296,169,378 and 6,417,795,499

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Solution

The third proportional to 4,296,169,378 and 6,417,795,499 is: 9,587,168,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296,169,378 : 6,417,795,499 = 6,417,795,499 : x
  2. Step 2: Convert to fraction form
    4,296,169,378/6,417,795,499 = 6,417,795,499/x
  3. Step 3: Cross multiply
    4,296,169,378x = 6,417,795,499 × 6,417,795,499
  4. Step 4: Simplify right side
    4,296,169,378x = 41,188,099,066,984,660,992
  5. Step 5: Solve for x
    x = 41,188,099,066,984,660,992/4,296,169,378
  6. Step 6: Final answer
    x = 9,587,168,345.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.