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Finding the Third Proportional to 2,411,489,710 and 5,223,694,385

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Solution

The third proportional to 2,411,489,710 and 5,223,694,385 is: 11,315,405,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,489,710 : 5,223,694,385 = 5,223,694,385 : x
  2. Step 2: Convert to fraction form
    2,411,489,710/5,223,694,385 = 5,223,694,385/x
  3. Step 3: Cross multiply
    2,411,489,710x = 5,223,694,385 × 5,223,694,385
  4. Step 4: Simplify right side
    2,411,489,710x = 27,286,983,027,880,529,920
  5. Step 5: Solve for x
    x = 27,286,983,027,880,529,920/2,411,489,710
  6. Step 6: Final answer
    x = 11,315,405,126.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.