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Finding the Third Proportional to 21,863,920.50 and 47,846,526.75

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Solution

The third proportional to 21,863,920.50 and 47,846,526.75 is: 104,706,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863,920.50 : 47,846,526.75 = 47,846,526.75 : x
  2. Step 2: Convert to fraction form
    21,863,920.50/47,846,526.75 = 47,846,526.75/x
  3. Step 3: Cross multiply
    21,863,920.50x = 47,846,526.75 × 47,846,526.75
  4. Step 4: Simplify right side
    21,863,920.50x = 2,289,290,122,038,465.50
  5. Step 5: Solve for x
    x = 2,289,290,122,038,465.50/21,863,920.50
  6. Step 6: Final answer
    x = 104,706,295.56

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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.