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Finding the Third Proportional to 3,000,766 and 6,570,720

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Solution

The third proportional to 3,000,766 and 6,570,720 is: 14,387,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,766 : 6,570,720 = 6,570,720 : x
  2. Step 2: Convert to fraction form
    3,000,766/6,570,720 = 6,570,720/x
  3. Step 3: Cross multiply
    3,000,766x = 6,570,720 × 6,570,720
  4. Step 4: Simplify right side
    3,000,766x = 43,174,361,318,400
  5. Step 5: Solve for x
    x = 43,174,361,318,400/3,000,766
  6. Step 6: Final answer
    x = 14,387,780.09

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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.