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Finding the Third Proportional to 21,813,321 and 33,822,352.50

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Solution

The third proportional to 21,813,321 and 33,822,352.50 is: 52,442,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813,321 : 33,822,352.50 = 33,822,352.50 : x
  2. Step 2: Convert to fraction form
    21,813,321/33,822,352.50 = 33,822,352.50/x
  3. Step 3: Cross multiply
    21,813,321x = 33,822,352.50 × 33,822,352.50
  4. Step 4: Simplify right side
    21,813,321x = 1,143,951,528,634,256.25
  5. Step 5: Solve for x
    x = 1,143,951,528,634,256.25/21,813,321
  6. Step 6: Final answer
    x = 52,442,795.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.