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Finding the Third Proportional to 16,180,470.75 and 34,762,206

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Solution

The third proportional to 16,180,470.75 and 34,762,206 is: 74,683,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180,470.75 : 34,762,206 = 34,762,206 : x
  2. Step 2: Convert to fraction form
    16,180,470.75/34,762,206 = 34,762,206/x
  3. Step 3: Cross multiply
    16,180,470.75x = 34,762,206 × 34,762,206
  4. Step 4: Simplify right side
    16,180,470.75x = 1,208,410,965,986,436
  5. Step 5: Solve for x
    x = 1,208,410,965,986,436/16,180,470.75
  6. Step 6: Final answer
    x = 74,683,300.92

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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.