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Finding the Third Proportional to 12,822,723 and 26,168,658

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Solution

The third proportional to 12,822,723 and 26,168,658 is: 53,405,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822,723 : 26,168,658 = 26,168,658 : x
  2. Step 2: Convert to fraction form
    12,822,723/26,168,658 = 26,168,658/x
  3. Step 3: Cross multiply
    12,822,723x = 26,168,658 × 26,168,658
  4. Step 4: Simplify right side
    12,822,723x = 684,798,661,520,964
  5. Step 5: Solve for x
    x = 684,798,661,520,964/12,822,723
  6. Step 6: Final answer
    x = 53,405,088.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.