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Finding the Third Proportional to 10,094,956.50 and 22,016,967

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Solution

The third proportional to 10,094,956.50 and 22,016,967 is: 48,018,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094,956.50 : 22,016,967 = 22,016,967 : x
  2. Step 2: Convert to fraction form
    10,094,956.50/22,016,967 = 22,016,967/x
  3. Step 3: Cross multiply
    10,094,956.50x = 22,016,967 × 22,016,967
  4. Step 4: Simplify right side
    10,094,956.50x = 484,746,835,879,089
  5. Step 5: Solve for x
    x = 484,746,835,879,089/10,094,956.50
  6. Step 6: Final answer
    x = 48,018,714.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.