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Finding the Third Proportional to 23,713,289 and 51,021,682

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Solution

The third proportional to 23,713,289 and 51,021,682 is: 109,778,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713,289 : 51,021,682 = 51,021,682 : x
  2. Step 2: Convert to fraction form
    23,713,289/51,021,682 = 51,021,682/x
  3. Step 3: Cross multiply
    23,713,289x = 51,021,682 × 51,021,682
  4. Step 4: Simplify right side
    23,713,289x = 2,603,212,034,109,124
  5. Step 5: Solve for x
    x = 2,603,212,034,109,124/23,713,289
  6. Step 6: Final answer
    x = 109,778,615.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.