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Finding the Third Proportional to 35,476,368 and 76,490,214

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Solution

The third proportional to 35,476,368 and 76,490,214 is: 164,919,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,476,368 : 76,490,214 = 76,490,214 : x
  2. Step 2: Convert to fraction form
    35,476,368/76,490,214 = 76,490,214/x
  3. Step 3: Cross multiply
    35,476,368x = 76,490,214 × 76,490,214
  4. Step 4: Simplify right side
    35,476,368x = 5,850,752,837,765,796
  5. Step 5: Solve for x
    x = 5,850,752,837,765,796/35,476,368
  6. Step 6: Final answer
    x = 164,919,724.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.