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Finding the Third Proportional to 35,648,342 and 52,825,137

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Solution

The third proportional to 35,648,342 and 52,825,137 is: 78,278,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648,342 : 52,825,137 = 52,825,137 : x
  2. Step 2: Convert to fraction form
    35,648,342/52,825,137 = 52,825,137/x
  3. Step 3: Cross multiply
    35,648,342x = 52,825,137 × 52,825,137
  4. Step 4: Simplify right side
    35,648,342x = 2,790,495,099,068,769
  5. Step 5: Solve for x
    x = 2,790,495,099,068,769/35,648,342
  6. Step 6: Final answer
    x = 78,278,397.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.