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Finding the Third Proportional to 10,789,430 and 23,117,823

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Solution

The third proportional to 10,789,430 and 23,117,823 is: 49,533,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789,430 : 23,117,823 = 23,117,823 : x
  2. Step 2: Convert to fraction form
    10,789,430/23,117,823 = 23,117,823/x
  3. Step 3: Cross multiply
    10,789,430x = 23,117,823 × 23,117,823
  4. Step 4: Simplify right side
    10,789,430x = 534,433,740,259,329
  5. Step 5: Solve for x
    x = 534,433,740,259,329/10,789,430
  6. Step 6: Final answer
    x = 49,533,083.79

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Why These Related Problems?

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