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Finding the Third Proportional to 6,647,234,798 and 14,397,544,282

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Solution

The third proportional to 6,647,234,798 and 14,397,544,282 is: 31,184,287,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,234,798 : 14,397,544,282 = 14,397,544,282 : x
  2. Step 2: Convert to fraction form
    6,647,234,798/14,397,544,282 = 14,397,544,282/x
  3. Step 3: Cross multiply
    6,647,234,798x = 14,397,544,282 × 14,397,544,282
  4. Step 4: Simplify right side
    6,647,234,798x = 207,289,281,352,150,908,928
  5. Step 5: Solve for x
    x = 207,289,281,352,150,908,928/6,647,234,798
  6. Step 6: Final answer
    x = 31,184,287,549.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.