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Finding the Third Proportional to 30,854,536.31 and 64,262,883.94

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Solution

The third proportional to 30,854,536.31 and 64,262,883.94 is: 133,844,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854,536.31 : 64,262,883.94 = 64,262,883.94 : x
  2. Step 2: Convert to fraction form
    30,854,536.31/64,262,883.94 = 64,262,883.94/x
  3. Step 3: Cross multiply
    30,854,536.31x = 64,262,883.94 × 64,262,883.94
  4. Step 4: Simplify right side
    30,854,536.31x = 4,129,718,251,964,595.50
  5. Step 5: Solve for x
    x = 4,129,718,251,964,595.50/30,854,536.31
  6. Step 6: Final answer
    x = 133,844,767.92

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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.