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Finding the Third Proportional to 2,916,024 and 6,362,664

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Solution

The third proportional to 2,916,024 and 6,362,664 is: 13,883,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916,024 : 6,362,664 = 6,362,664 : x
  2. Step 2: Convert to fraction form
    2,916,024/6,362,664 = 6,362,664/x
  3. Step 3: Cross multiply
    2,916,024x = 6,362,664 × 6,362,664
  4. Step 4: Simplify right side
    2,916,024x = 40,483,493,176,896
  5. Step 5: Solve for x
    x = 40,483,493,176,896/2,916,024
  6. Step 6: Final answer
    x = 13,883,113.85

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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.