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Finding the Third Proportional to 21,984,468.75 and 32,336,961.75

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Solution

The third proportional to 21,984,468.75 and 32,336,961.75 is: 47,564,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984,468.75 : 32,336,961.75 = 32,336,961.75 : x
  2. Step 2: Convert to fraction form
    21,984,468.75/32,336,961.75 = 32,336,961.75/x
  3. Step 3: Cross multiply
    21,984,468.75x = 32,336,961.75 × 32,336,961.75
  4. Step 4: Simplify right side
    21,984,468.75x = 1,045,679,095,220,963
  5. Step 5: Solve for x
    x = 1,045,679,095,220,963/21,984,468.75
  6. Step 6: Final answer
    x = 47,564,446.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.