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Finding the Third Proportional to 35,630,357 and 76,299,562

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Solution

The third proportional to 35,630,357 and 76,299,562 is: 163,389,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,630,357 : 76,299,562 = 76,299,562 : x
  2. Step 2: Convert to fraction form
    35,630,357/76,299,562 = 76,299,562/x
  3. Step 3: Cross multiply
    35,630,357x = 76,299,562 × 76,299,562
  4. Step 4: Simplify right side
    35,630,357x = 5,821,623,161,391,844
  5. Step 5: Solve for x
    x = 5,821,623,161,391,844/35,630,357
  6. Step 6: Final answer
    x = 163,389,414.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.