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Finding the Third Proportional to 35,449,581 and 76,949,254.50

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Solution

The third proportional to 35,449,581 and 76,949,254.50 is: 167,031,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,449,581 : 76,949,254.50 = 76,949,254.50 : x
  2. Step 2: Convert to fraction form
    35,449,581/76,949,254.50 = 76,949,254.50/x
  3. Step 3: Cross multiply
    35,449,581x = 76,949,254.50 × 76,949,254.50
  4. Step 4: Simplify right side
    35,449,581x = 5,921,187,768,105,770
  5. Step 5: Solve for x
    x = 5,921,187,768,105,770/35,449,581
  6. Step 6: Final answer
    x = 167,031,248.36

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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.