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Finding the Third Proportional to 21,660,864 and 47,056,476

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Solution

The third proportional to 21,660,864 and 47,056,476 is: 102,226,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,660,864 : 47,056,476 = 47,056,476 : x
  2. Step 2: Convert to fraction form
    21,660,864/47,056,476 = 47,056,476/x
  3. Step 3: Cross multiply
    21,660,864x = 47,056,476 × 47,056,476
  4. Step 4: Simplify right side
    21,660,864x = 2,214,311,933,538,576
  5. Step 5: Solve for x
    x = 2,214,311,933,538,576/21,660,864
  6. Step 6: Final answer
    x = 102,226,390.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.