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Finding the Third Proportional to 6,581,011.50 and 14,674,345.50

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Solution

The third proportional to 6,581,011.50 and 14,674,345.50 is: 32,720,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581,011.50 : 14,674,345.50 = 14,674,345.50 : x
  2. Step 2: Convert to fraction form
    6,581,011.50/14,674,345.50 = 14,674,345.50/x
  3. Step 3: Cross multiply
    6,581,011.50x = 14,674,345.50 × 14,674,345.50
  4. Step 4: Simplify right side
    6,581,011.50x = 215,336,415,853,370.25
  5. Step 5: Solve for x
    x = 215,336,415,853,370.25/6,581,011.50
  6. Step 6: Final answer
    x = 32,720,869.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.