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Finding the Third Proportional to 9,681,730.50 and 20,857,243.50

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Solution

The third proportional to 9,681,730.50 and 20,857,243.50 is: 44,932,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681,730.50 : 20,857,243.50 = 20,857,243.50 : x
  2. Step 2: Convert to fraction form
    9,681,730.50/20,857,243.50 = 20,857,243.50/x
  3. Step 3: Cross multiply
    9,681,730.50x = 20,857,243.50 × 20,857,243.50
  4. Step 4: Simplify right side
    9,681,730.50x = 435,024,606,418,292.25
  5. Step 5: Solve for x
    x = 435,024,606,418,292.25/9,681,730.50
  6. Step 6: Final answer
    x = 44,932,525.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.