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Finding the Third Proportional to 21,660,869 and 47,056,486

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Solution

The third proportional to 21,660,869 and 47,056,486 is: 102,226,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,660,869 : 47,056,486 = 47,056,486 : x
  2. Step 2: Convert to fraction form
    21,660,869/47,056,486 = 47,056,486/x
  3. Step 3: Cross multiply
    21,660,869x = 47,056,486 × 47,056,486
  4. Step 4: Simplify right side
    21,660,869x = 2,214,312,874,668,196
  5. Step 5: Solve for x
    x = 2,214,312,874,668,196/21,660,869
  6. Step 6: Final answer
    x = 102,226,409.97

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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.