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Finding the Third Proportional to 4,691,947 and 10,280,697

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Solution

The third proportional to 4,691,947 and 10,280,697 is: 22,526,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691,947 : 10,280,697 = 10,280,697 : x
  2. Step 2: Convert to fraction form
    4,691,947/10,280,697 = 10,280,697/x
  3. Step 3: Cross multiply
    4,691,947x = 10,280,697 × 10,280,697
  4. Step 4: Simplify right side
    4,691,947x = 105,692,730,805,809
  5. Step 5: Solve for x
    x = 105,692,730,805,809/4,691,947
  6. Step 6: Final answer
    x = 22,526,411.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.