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Finding the Third Proportional to 3,153,583.50 and 6,917,583

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Solution

The third proportional to 3,153,583.50 and 6,917,583 is: 15,174,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153,583.50 : 6,917,583 = 6,917,583 : x
  2. Step 2: Convert to fraction form
    3,153,583.50/6,917,583 = 6,917,583/x
  3. Step 3: Cross multiply
    3,153,583.50x = 6,917,583 × 6,917,583
  4. Step 4: Simplify right side
    3,153,583.50x = 47,852,954,561,889
  5. Step 5: Solve for x
    x = 47,852,954,561,889/3,153,583.50
  6. Step 6: Final answer
    x = 15,174,151.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.