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Finding the Third Proportional to 2,160,616 and 4,710,008

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Solution

The third proportional to 2,160,616 and 4,710,008 is: 10,267,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,616 : 4,710,008 = 4,710,008 : x
  2. Step 2: Convert to fraction form
    2,160,616/4,710,008 = 4,710,008/x
  3. Step 3: Cross multiply
    2,160,616x = 4,710,008 × 4,710,008
  4. Step 4: Simplify right side
    2,160,616x = 22,184,175,360,064
  5. Step 5: Solve for x
    x = 22,184,175,360,064/2,160,616
  6. Step 6: Final answer
    x = 10,267,523.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.