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Finding the Third Proportional to 6,991,460 and 16,480,816

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Solution

The third proportional to 6,991,460 and 16,480,816 is: 38,849,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991,460 : 16,480,816 = 16,480,816 : x
  2. Step 2: Convert to fraction form
    6,991,460/16,480,816 = 16,480,816/x
  3. Step 3: Cross multiply
    6,991,460x = 16,480,816 × 16,480,816
  4. Step 4: Simplify right side
    6,991,460x = 271,617,296,025,856
  5. Step 5: Solve for x
    x = 271,617,296,025,856/6,991,460
  6. Step 6: Final answer
    x = 38,849,867.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.