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Finding the Third Proportional to 4,662,688 and 10,033,965

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Solution

The third proportional to 4,662,688 and 10,033,965 is: 21,592,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662,688 : 10,033,965 = 10,033,965 : x
  2. Step 2: Convert to fraction form
    4,662,688/10,033,965 = 10,033,965/x
  3. Step 3: Cross multiply
    4,662,688x = 10,033,965 × 10,033,965
  4. Step 4: Simplify right side
    4,662,688x = 100,680,453,621,225
  5. Step 5: Solve for x
    x = 100,680,453,621,225/4,662,688
  6. Step 6: Final answer
    x = 21,592,792.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.