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Finding the Third Proportional to 35,285,814 and 76,435,983

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Solution

The third proportional to 35,285,814 and 76,435,983 is: 165,575,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285,814 : 76,435,983 = 76,435,983 : x
  2. Step 2: Convert to fraction form
    35,285,814/76,435,983 = 76,435,983/x
  3. Step 3: Cross multiply
    35,285,814x = 76,435,983 × 76,435,983
  4. Step 4: Simplify right side
    35,285,814x = 5,842,459,497,176,289
  5. Step 5: Solve for x
    x = 5,842,459,497,176,289/35,285,814
  6. Step 6: Final answer
    x = 165,575,307.32

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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.