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Finding the Third Proportional to 6,358,678 and 13,772,947

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Solution

The third proportional to 6,358,678 and 13,772,947 is: 29,832,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358,678 : 13,772,947 = 13,772,947 : x
  2. Step 2: Convert to fraction form
    6,358,678/13,772,947 = 13,772,947/x
  3. Step 3: Cross multiply
    6,358,678x = 13,772,947 × 13,772,947
  4. Step 4: Simplify right side
    6,358,678x = 189,694,069,064,809
  5. Step 5: Solve for x
    x = 189,694,069,064,809/6,358,678
  6. Step 6: Final answer
    x = 29,832,312.48

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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.