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Finding the Third Proportional to 4,296,169,376 and 6,417,795,496

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Solution

The third proportional to 4,296,169,376 and 6,417,795,496 is: 9,587,168,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296,169,376 : 6,417,795,496 = 6,417,795,496 : x
  2. Step 2: Convert to fraction form
    4,296,169,376/6,417,795,496 = 6,417,795,496/x
  3. Step 3: Cross multiply
    4,296,169,376x = 6,417,795,496 × 6,417,795,496
  4. Step 4: Simplify right side
    4,296,169,376x = 41,188,099,028,477,886,464
  5. Step 5: Solve for x
    x = 41,188,099,028,477,886,464/4,296,169,376
  6. Step 6: Final answer
    x = 9,587,168,340.84

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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.