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Finding the Third Proportional to 16,415,712 and 35,635,140

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Solution

The third proportional to 16,415,712 and 35,635,140 is: 77,356,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415,712 : 35,635,140 = 35,635,140 : x
  2. Step 2: Convert to fraction form
    16,415,712/35,635,140 = 35,635,140/x
  3. Step 3: Cross multiply
    16,415,712x = 35,635,140 × 35,635,140
  4. Step 4: Simplify right side
    16,415,712x = 1,269,863,202,819,600
  5. Step 5: Solve for x
    x = 1,269,863,202,819,600/16,415,712
  6. Step 6: Final answer
    x = 77,356,571.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.