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Finding the Third Proportional to 7,588,643.63 and 16,508,486.81

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Solution

The third proportional to 7,588,643.63 and 16,508,486.81 is: 35,912,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588,643.63 : 16,508,486.81 = 16,508,486.81 : x
  2. Step 2: Convert to fraction form
    7,588,643.63/16,508,486.81 = 16,508,486.81/x
  3. Step 3: Cross multiply
    7,588,643.63x = 16,508,486.81 × 16,508,486.81
  4. Step 4: Simplify right side
    7,588,643.63x = 272,530,136,838,486.41
  5. Step 5: Solve for x
    x = 272,530,136,838,486.41/7,588,643.63
  6. Step 6: Final answer
    x = 35,912,891.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.