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Finding the Third Proportional to 21,725,634 and 47,187,964.50

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Solution

The third proportional to 21,725,634 and 47,187,964.50 is: 102,492,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725,634 : 47,187,964.50 = 47,187,964.50 : x
  2. Step 2: Convert to fraction form
    21,725,634/47,187,964.50 = 47,187,964.50/x
  3. Step 3: Cross multiply
    21,725,634x = 47,187,964.50 × 47,187,964.50
  4. Step 4: Simplify right side
    21,725,634x = 2,226,703,993,653,260.25
  5. Step 5: Solve for x
    x = 2,226,703,993,653,260.25/21,725,634
  6. Step 6: Final answer
    x = 102,492,014.44

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