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Finding the Third Proportional to 6,317,919 and 9,705,010.50

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Solution

The third proportional to 6,317,919 and 9,705,010.50 is: 14,907,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317,919 : 9,705,010.50 = 9,705,010.50 : x
  2. Step 2: Convert to fraction form
    6,317,919/9,705,010.50 = 9,705,010.50/x
  3. Step 3: Cross multiply
    6,317,919x = 9,705,010.50 × 9,705,010.50
  4. Step 4: Simplify right side
    6,317,919x = 94,187,228,805,110.25
  5. Step 5: Solve for x
    x = 94,187,228,805,110.25/6,317,919
  6. Step 6: Final answer
    x = 14,907,951.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.