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Finding the Third Proportional to 6,046,896 and 9,166,320

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Solution

The third proportional to 6,046,896 and 9,166,320 is: 13,894,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046,896 : 9,166,320 = 9,166,320 : x
  2. Step 2: Convert to fraction form
    6,046,896/9,166,320 = 9,166,320/x
  3. Step 3: Cross multiply
    6,046,896x = 9,166,320 × 9,166,320
  4. Step 4: Simplify right side
    6,046,896x = 84,021,422,342,400
  5. Step 5: Solve for x
    x = 84,021,422,342,400/6,046,896
  6. Step 6: Final answer
    x = 13,894,967.33

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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.