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Finding the Third Proportional to 21,725,639.02 and 47,187,972.56

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Solution

The third proportional to 21,725,639.02 and 47,187,972.56 is: 102,492,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725,639.02 : 47,187,972.56 = 47,187,972.56 : x
  2. Step 2: Convert to fraction form
    21,725,639.02/47,187,972.56 = 47,187,972.56/x
  3. Step 3: Cross multiply
    21,725,639.02x = 47,187,972.56 × 47,187,972.56
  4. Step 4: Simplify right side
    21,725,639.02x = 2,226,704,754,559,252.75
  5. Step 5: Solve for x
    x = 2,226,704,754,559,252.75/21,725,639.02
  6. Step 6: Final answer
    x = 102,492,025.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.