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Finding the Third Proportional to 7,640,494 and 11,559,168

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Solution

The third proportional to 7,640,494 and 11,559,168 is: 17,487,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640,494 : 11,559,168 = 11,559,168 : x
  2. Step 2: Convert to fraction form
    7,640,494/11,559,168 = 11,559,168/x
  3. Step 3: Cross multiply
    7,640,494x = 11,559,168 × 11,559,168
  4. Step 4: Simplify right side
    7,640,494x = 133,614,364,852,224
  5. Step 5: Solve for x
    x = 133,614,364,852,224/7,640,494
  6. Step 6: Final answer
    x = 17,487,660.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.