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Finding the Third Proportional to 11,754,683.25 and 24,931,650.75

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Solution

The third proportional to 11,754,683.25 and 24,931,650.75 is: 52,879,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754,683.25 : 24,931,650.75 = 24,931,650.75 : x
  2. Step 2: Convert to fraction form
    11,754,683.25/24,931,650.75 = 24,931,650.75/x
  3. Step 3: Cross multiply
    11,754,683.25x = 24,931,650.75 × 24,931,650.75
  4. Step 4: Simplify right side
    11,754,683.25x = 621,587,209,119,975.50
  5. Step 5: Solve for x
    x = 621,587,209,119,975.50/11,754,683.25
  6. Step 6: Final answer
    x = 52,879,962.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.