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Finding the Third Proportional to 6,783,901 and 14,763,452

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Solution

The third proportional to 6,783,901 and 14,763,452 is: 32,128,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783,901 : 14,763,452 = 14,763,452 : x
  2. Step 2: Convert to fraction form
    6,783,901/14,763,452 = 14,763,452/x
  3. Step 3: Cross multiply
    6,783,901x = 14,763,452 × 14,763,452
  4. Step 4: Simplify right side
    6,783,901x = 217,959,514,956,304
  5. Step 5: Solve for x
    x = 217,959,514,956,304/6,783,901
  6. Step 6: Final answer
    x = 32,128,935.10

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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.