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Finding the Third Proportional to 34,703,207 and 75,380,323

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Solution

The third proportional to 34,703,207 and 75,380,323 is: 163,736,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,703,207 : 75,380,323 = 75,380,323 : x
  2. Step 2: Convert to fraction form
    34,703,207/75,380,323 = 75,380,323/x
  3. Step 3: Cross multiply
    34,703,207x = 75,380,323 × 75,380,323
  4. Step 4: Simplify right side
    34,703,207x = 5,682,193,095,584,329
  5. Step 5: Solve for x
    x = 5,682,193,095,584,329/34,703,207
  6. Step 6: Final answer
    x = 163,736,829.73

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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.