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Finding the Third Proportional to 16,738,964 and 35,486,944

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Solution

The third proportional to 16,738,964 and 35,486,944 is: 75,233,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738,964 : 35,486,944 = 35,486,944 : x
  2. Step 2: Convert to fraction form
    16,738,964/35,486,944 = 35,486,944/x
  3. Step 3: Cross multiply
    16,738,964x = 35,486,944 × 35,486,944
  4. Step 4: Simplify right side
    16,738,964x = 1,259,323,194,459,136
  5. Step 5: Solve for x
    x = 1,259,323,194,459,136/16,738,964
  6. Step 6: Final answer
    x = 75,233,042.77

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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.