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Finding the Third Proportional to 7,588,690 and 16,564,208

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Solution

The third proportional to 7,588,690 and 16,564,208 is: 36,155,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588,690 : 16,564,208 = 16,564,208 : x
  2. Step 2: Convert to fraction form
    7,588,690/16,564,208 = 16,564,208/x
  3. Step 3: Cross multiply
    7,588,690x = 16,564,208 × 16,564,208
  4. Step 4: Simplify right side
    7,588,690x = 274,372,986,667,264
  5. Step 5: Solve for x
    x = 274,372,986,667,264/7,588,690
  6. Step 6: Final answer
    x = 36,155,513.89

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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.