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Finding the Third Proportional to 38,647,044 and 83,347,160

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Solution

The third proportional to 38,647,044 and 83,347,160 is: 179,748,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647,044 : 83,347,160 = 83,347,160 : x
  2. Step 2: Convert to fraction form
    38,647,044/83,347,160 = 83,347,160/x
  3. Step 3: Cross multiply
    38,647,044x = 83,347,160 × 83,347,160
  4. Step 4: Simplify right side
    38,647,044x = 6,946,749,080,065,600
  5. Step 5: Solve for x
    x = 6,946,749,080,065,600/38,647,044
  6. Step 6: Final answer
    x = 179,748,523.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.