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Finding the Third Proportional to 2,173,731,664 and 4,592,813,728

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Solution

The third proportional to 2,173,731,664 and 4,592,813,728 is: 9,704,021,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,731,664 : 4,592,813,728 = 4,592,813,728 : x
  2. Step 2: Convert to fraction form
    2,173,731,664/4,592,813,728 = 4,592,813,728/x
  3. Step 3: Cross multiply
    2,173,731,664x = 4,592,813,728 × 4,592,813,728
  4. Step 4: Simplify right side
    2,173,731,664x = 21,093,937,940,105,256,960
  5. Step 5: Solve for x
    x = 21,093,937,940,105,256,960/2,173,731,664
  6. Step 6: Final answer
    x = 9,704,021,103.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.