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Finding the Third Proportional to 10,863,031.50 and 16,294,790.25

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Solution

The third proportional to 10,863,031.50 and 16,294,790.25 is: 24,442,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863,031.50 : 16,294,790.25 = 16,294,790.25 : x
  2. Step 2: Convert to fraction form
    10,863,031.50/16,294,790.25 = 16,294,790.25/x
  3. Step 3: Cross multiply
    10,863,031.50x = 16,294,790.25 × 16,294,790.25
  4. Step 4: Simplify right side
    10,863,031.50x = 265,520,189,291,495.06
  5. Step 5: Solve for x
    x = 265,520,189,291,495.06/10,863,031.50
  6. Step 6: Final answer
    x = 24,442,549.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.