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Finding the Third Proportional to 23,713,284 and 51,021,672

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Solution

The third proportional to 23,713,284 and 51,021,672 is: 109,778,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713,284 : 51,021,672 = 51,021,672 : x
  2. Step 2: Convert to fraction form
    23,713,284/51,021,672 = 51,021,672/x
  3. Step 3: Cross multiply
    23,713,284x = 51,021,672 × 51,021,672
  4. Step 4: Simplify right side
    23,713,284x = 2,603,211,013,675,584
  5. Step 5: Solve for x
    x = 2,603,211,013,675,584/23,713,284
  6. Step 6: Final answer
    x = 109,778,595.56

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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.