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Finding the Third Proportional to 21,793,189.50 and 47,837,412

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Solution

The third proportional to 21,793,189.50 and 47,837,412 is: 105,006,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,793,189.50 : 47,837,412 = 47,837,412 : x
  2. Step 2: Convert to fraction form
    21,793,189.50/47,837,412 = 47,837,412/x
  3. Step 3: Cross multiply
    21,793,189.50x = 47,837,412 × 47,837,412
  4. Step 4: Simplify right side
    21,793,189.50x = 2,288,417,986,857,744
  5. Step 5: Solve for x
    x = 2,288,417,986,857,744/21,793,189.50
  6. Step 6: Final answer
    x = 105,006,106.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.