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Finding the Third Proportional to 10,973,765 and 25,411,977

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Solution

The third proportional to 10,973,765 and 25,411,977 is: 58,846,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973,765 : 25,411,977 = 25,411,977 : x
  2. Step 2: Convert to fraction form
    10,973,765/25,411,977 = 25,411,977/x
  3. Step 3: Cross multiply
    10,973,765x = 25,411,977 × 25,411,977
  4. Step 4: Simplify right side
    10,973,765x = 645,768,575,048,529
  5. Step 5: Solve for x
    x = 645,768,575,048,529/10,973,765
  6. Step 6: Final answer
    x = 58,846,583.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.