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Finding the Third Proportional to 3,000,763 and 6,570,713

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Solution

The third proportional to 3,000,763 and 6,570,713 is: 14,387,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,763 : 6,570,713 = 6,570,713 : x
  2. Step 2: Convert to fraction form
    3,000,763/6,570,713 = 6,570,713/x
  3. Step 3: Cross multiply
    3,000,763x = 6,570,713 × 6,570,713
  4. Step 4: Simplify right side
    3,000,763x = 43,174,269,328,369
  5. Step 5: Solve for x
    x = 43,174,269,328,369/3,000,763
  6. Step 6: Final answer
    x = 14,387,763.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.