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Finding the Third Proportional to 7,588,642 and 16,564,112

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Solution

The third proportional to 7,588,642 and 16,564,112 is: 36,155,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588,642 : 16,564,112 = 16,564,112 : x
  2. Step 2: Convert to fraction form
    7,588,642/16,564,112 = 16,564,112/x
  3. Step 3: Cross multiply
    7,588,642x = 16,564,112 × 16,564,112
  4. Step 4: Simplify right side
    7,588,642x = 274,369,806,348,544
  5. Step 5: Solve for x
    x = 274,369,806,348,544/7,588,642
  6. Step 6: Final answer
    x = 36,155,323.49

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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.