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Finding the Third Proportional to 6,046,898 and 9,166,323

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Solution

The third proportional to 6,046,898 and 9,166,323 is: 13,894,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046,898 : 9,166,323 = 9,166,323 : x
  2. Step 2: Convert to fraction form
    6,046,898/9,166,323 = 9,166,323/x
  3. Step 3: Cross multiply
    6,046,898x = 9,166,323 × 9,166,323
  4. Step 4: Simplify right side
    6,046,898x = 84,021,477,340,329
  5. Step 5: Solve for x
    x = 84,021,477,340,329/6,046,898
  6. Step 6: Final answer
    x = 13,894,971.83

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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.