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Finding the Third Proportional to 5,906,706 and 9,112,063.50

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Solution

The third proportional to 5,906,706 and 9,112,063.50 is: 14,056,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906,706 : 9,112,063.50 = 9,112,063.50 : x
  2. Step 2: Convert to fraction form
    5,906,706/9,112,063.50 = 9,112,063.50/x
  3. Step 3: Cross multiply
    5,906,706x = 9,112,063.50 × 9,112,063.50
  4. Step 4: Simplify right side
    5,906,706x = 83,029,701,228,032.25
  5. Step 5: Solve for x
    x = 83,029,701,228,032.25/5,906,706
  6. Step 6: Final answer
    x = 14,056,853.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.