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Finding the Third Proportional to 9,970,146 and 21,689,892

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Solution

The third proportional to 9,970,146 and 21,689,892 is: 47,186,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970,146 : 21,689,892 = 21,689,892 : x
  2. Step 2: Convert to fraction form
    9,970,146/21,689,892 = 21,689,892/x
  3. Step 3: Cross multiply
    9,970,146x = 21,689,892 × 21,689,892
  4. Step 4: Simplify right side
    9,970,146x = 470,451,414,971,664
  5. Step 5: Solve for x
    x = 470,451,414,971,664/9,970,146
  6. Step 6: Final answer
    x = 47,186,010.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.