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Finding the Third Proportional to 10,897,328.50 and 23,122,977

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Solution

The third proportional to 10,897,328.50 and 23,122,977 is: 49,064,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897,328.50 : 23,122,977 = 23,122,977 : x
  2. Step 2: Convert to fraction form
    10,897,328.50/23,122,977 = 23,122,977/x
  3. Step 3: Cross multiply
    10,897,328.50x = 23,122,977 × 23,122,977
  4. Step 4: Simplify right side
    10,897,328.50x = 534,672,065,342,529
  5. Step 5: Solve for x
    x = 534,672,065,342,529/10,897,328.50
  6. Step 6: Final answer
    x = 49,064,508.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.