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Finding the Third Proportional to 3,034,588.50 and 6,500,935.50

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Solution

The third proportional to 3,034,588.50 and 6,500,935.50 is: 13,926,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034,588.50 : 6,500,935.50 = 6,500,935.50 : x
  2. Step 2: Convert to fraction form
    3,034,588.50/6,500,935.50 = 6,500,935.50/x
  3. Step 3: Cross multiply
    3,034,588.50x = 6,500,935.50 × 6,500,935.50
  4. Step 4: Simplify right side
    3,034,588.50x = 42,262,162,375,160.25
  5. Step 5: Solve for x
    x = 42,262,162,375,160.25/3,034,588.50
  6. Step 6: Final answer
    x = 13,926,818.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.