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Finding the Third Proportional to 5,111,901 and 10,942,029

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Solution

The third proportional to 5,111,901 and 10,942,029 is: 23,421,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111,901 : 10,942,029 = 10,942,029 : x
  2. Step 2: Convert to fraction form
    5,111,901/10,942,029 = 10,942,029/x
  3. Step 3: Cross multiply
    5,111,901x = 10,942,029 × 10,942,029
  4. Step 4: Simplify right side
    5,111,901x = 119,727,998,636,841
  5. Step 5: Solve for x
    x = 119,727,998,636,841/5,111,901
  6. Step 6: Final answer
    x = 23,421,423.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.