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Finding the Third Proportional to 10,597,616 and 23,593,480

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Solution

The third proportional to 10,597,616 and 23,593,480 is: 52,526,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597,616 : 23,593,480 = 23,593,480 : x
  2. Step 2: Convert to fraction form
    10,597,616/23,593,480 = 23,593,480/x
  3. Step 3: Cross multiply
    10,597,616x = 23,593,480 × 23,593,480
  4. Step 4: Simplify right side
    10,597,616x = 556,652,298,510,400
  5. Step 5: Solve for x
    x = 556,652,298,510,400/10,597,616
  6. Step 6: Final answer
    x = 52,526,181.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.