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Finding the Third Proportional to 30,854,534.19 and 64,262,879.88

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Solution

The third proportional to 30,854,534.19 and 64,262,879.88 is: 133,844,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854,534.19 : 64,262,879.88 = 64,262,879.88 : x
  2. Step 2: Convert to fraction form
    30,854,534.19/64,262,879.88 = 64,262,879.88/x
  3. Step 3: Cross multiply
    30,854,534.19x = 64,262,879.88 × 64,262,879.88
  4. Step 4: Simplify right side
    30,854,534.19x = 4,129,717,729,828,680
  5. Step 5: Solve for x
    x = 4,129,717,729,828,680/30,854,534.19
  6. Step 6: Final answer
    x = 133,844,760.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.