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Finding the Third Proportional to 2,781,859.50 and 5,931,148.50

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Solution

The third proportional to 2,781,859.50 and 5,931,148.50 is: 12,645,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,859.50 : 5,931,148.50 = 5,931,148.50 : x
  2. Step 2: Convert to fraction form
    2,781,859.50/5,931,148.50 = 5,931,148.50/x
  3. Step 3: Cross multiply
    2,781,859.50x = 5,931,148.50 × 5,931,148.50
  4. Step 4: Simplify right side
    2,781,859.50x = 35,178,522,529,052.25
  5. Step 5: Solve for x
    x = 35,178,522,529,052.25/2,781,859.50
  6. Step 6: Final answer
    x = 12,645,686.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.