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Finding the Third Proportional to 21,863,846.63 and 47,846,381.63

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Solution

The third proportional to 21,863,846.63 and 47,846,381.63 is: 104,706,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863,846.63 : 47,846,381.63 = 47,846,381.63 : x
  2. Step 2: Convert to fraction form
    21,863,846.63/47,846,381.63 = 47,846,381.63/x
  3. Step 3: Cross multiply
    21,863,846.63x = 47,846,381.63 × 47,846,381.63
  4. Step 4: Simplify right side
    21,863,846.63x = 2,289,276,234,605,137.50
  5. Step 5: Solve for x
    x = 2,289,276,234,605,137.50/21,863,846.63
  6. Step 6: Final answer
    x = 104,706,014.17

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Why These Related Problems?

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