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Finding the Third Proportional to 10,156,601.25 and 21,969,809.50

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Solution

The third proportional to 10,156,601.25 and 21,969,809.50 is: 47,523,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156,601.25 : 21,969,809.50 = 21,969,809.50 : x
  2. Step 2: Convert to fraction form
    10,156,601.25/21,969,809.50 = 21,969,809.50/x
  3. Step 3: Cross multiply
    10,156,601.25x = 21,969,809.50 × 21,969,809.50
  4. Step 4: Simplify right side
    10,156,601.25x = 482,672,529,466,290.25
  5. Step 5: Solve for x
    x = 482,672,529,466,290.25/10,156,601.25
  6. Step 6: Final answer
    x = 47,523,036.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.