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Finding the Third Proportional to 32,898,662 and 71,283,237

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Solution

The third proportional to 32,898,662 and 71,283,237 is: 154,453,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898,662 : 71,283,237 = 71,283,237 : x
  2. Step 2: Convert to fraction form
    32,898,662/71,283,237 = 71,283,237/x
  3. Step 3: Cross multiply
    32,898,662x = 71,283,237 × 71,283,237
  4. Step 4: Simplify right side
    32,898,662x = 5,081,299,877,198,169
  5. Step 5: Solve for x
    x = 5,081,299,877,198,169/32,898,662
  6. Step 6: Final answer
    x = 154,453,086.18

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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.