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Finding the Third Proportional to 34,852,144 and 75,749,156

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Solution

The third proportional to 34,852,144 and 75,749,156 is: 164,636,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,852,144 : 75,749,156 = 75,749,156 : x
  2. Step 2: Convert to fraction form
    34,852,144/75,749,156 = 75,749,156/x
  3. Step 3: Cross multiply
    34,852,144x = 75,749,156 × 75,749,156
  4. Step 4: Simplify right side
    34,852,144x = 5,737,934,634,712,336
  5. Step 5: Solve for x
    x = 5,737,934,634,712,336/34,852,144
  6. Step 6: Final answer
    x = 164,636,489.36

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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.