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Finding the Third Proportional to 21,532,916.25 and 47,250,897.75

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Solution

The third proportional to 21,532,916.25 and 47,250,897.75 is: 103,685,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532,916.25 : 47,250,897.75 = 47,250,897.75 : x
  2. Step 2: Convert to fraction form
    21,532,916.25/47,250,897.75 = 47,250,897.75/x
  3. Step 3: Cross multiply
    21,532,916.25x = 47,250,897.75 × 47,250,897.75
  4. Step 4: Simplify right side
    21,532,916.25x = 2,232,647,338,180,955
  5. Step 5: Solve for x
    x = 2,232,647,338,180,955/21,532,916.25
  6. Step 6: Final answer
    x = 103,685,321.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.