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Finding the Third Proportional to 21,033,971.50 and 32,310,756

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Solution

The third proportional to 21,033,971.50 and 32,310,756 is: 49,633,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033,971.50 : 32,310,756 = 32,310,756 : x
  2. Step 2: Convert to fraction form
    21,033,971.50/32,310,756 = 32,310,756/x
  3. Step 3: Cross multiply
    21,033,971.50x = 32,310,756 × 32,310,756
  4. Step 4: Simplify right side
    21,033,971.50x = 1,043,984,953,291,536
  5. Step 5: Solve for x
    x = 1,043,984,953,291,536/21,033,971.50
  6. Step 6: Final answer
    x = 49,633,277.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.