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Finding the Third Proportional to 9,657,970 and 20,467,396

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Solution

The third proportional to 9,657,970 and 20,467,396 is: 43,374,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,970 : 20,467,396 = 20,467,396 : x
  2. Step 2: Convert to fraction form
    9,657,970/20,467,396 = 20,467,396/x
  3. Step 3: Cross multiply
    9,657,970x = 20,467,396 × 20,467,396
  4. Step 4: Simplify right side
    9,657,970x = 418,914,299,020,816
  5. Step 5: Solve for x
    x = 418,914,299,020,816/9,657,970
  6. Step 6: Final answer
    x = 43,374,984.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.