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Finding the Third Proportional to 6,346,144 and 9,668,012

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Solution

The third proportional to 6,346,144 and 9,668,012 is: 14,728,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,144 : 9,668,012 = 9,668,012 : x
  2. Step 2: Convert to fraction form
    6,346,144/9,668,012 = 9,668,012/x
  3. Step 3: Cross multiply
    6,346,144x = 9,668,012 × 9,668,012
  4. Step 4: Simplify right side
    6,346,144x = 93,470,456,032,144
  5. Step 5: Solve for x
    x = 93,470,456,032,144/6,346,144
  6. Step 6: Final answer
    x = 14,728,700.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.