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Finding the Third Proportional to 7,601,840 and 16,391,904

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Solution

The third proportional to 7,601,840 and 16,391,904 is: 35,345,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601,840 : 16,391,904 = 16,391,904 : x
  2. Step 2: Convert to fraction form
    7,601,840/16,391,904 = 16,391,904/x
  3. Step 3: Cross multiply
    7,601,840x = 16,391,904 × 16,391,904
  4. Step 4: Simplify right side
    7,601,840x = 268,694,516,745,216
  5. Step 5: Solve for x
    x = 268,694,516,745,216/7,601,840
  6. Step 6: Final answer
    x = 35,345,984.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.