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Finding the Third Proportional to 5,298,812 and 11,796,748

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Solution

The third proportional to 5,298,812 and 11,796,748 is: 26,263,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298,812 : 11,796,748 = 11,796,748 : x
  2. Step 2: Convert to fraction form
    5,298,812/11,796,748 = 11,796,748/x
  3. Step 3: Cross multiply
    5,298,812x = 11,796,748 × 11,796,748
  4. Step 4: Simplify right side
    5,298,812x = 139,163,263,375,504
  5. Step 5: Solve for x
    x = 139,163,263,375,504/5,298,812
  6. Step 6: Final answer
    x = 26,263,106.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.