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Finding the Third Proportional to 7,717,592 and 16,806,640

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Solution

The third proportional to 7,717,592 and 16,806,640 is: 36,599,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717,592 : 16,806,640 = 16,806,640 : x
  2. Step 2: Convert to fraction form
    7,717,592/16,806,640 = 16,806,640/x
  3. Step 3: Cross multiply
    7,717,592x = 16,806,640 × 16,806,640
  4. Step 4: Simplify right side
    7,717,592x = 282,463,148,089,600
  5. Step 5: Solve for x
    x = 282,463,148,089,600/7,717,592
  6. Step 6: Final answer
    x = 36,599,906.82

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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.