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Finding the Third Proportional to 23,298,616 and 36,469,023

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Solution

The third proportional to 23,298,616 and 36,469,023 is: 57,084,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298,616 : 36,469,023 = 36,469,023 : x
  2. Step 2: Convert to fraction form
    23,298,616/36,469,023 = 36,469,023/x
  3. Step 3: Cross multiply
    23,298,616x = 36,469,023 × 36,469,023
  4. Step 4: Simplify right side
    23,298,616x = 1,329,989,638,574,529
  5. Step 5: Solve for x
    x = 1,329,989,638,574,529/23,298,616
  6. Step 6: Final answer
    x = 57,084,491.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.