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Finding the Third Proportional to 29,756,742 and 64,479,203

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Solution

The third proportional to 29,756,742 and 64,479,203 is: 139,718,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756,742 : 64,479,203 = 64,479,203 : x
  2. Step 2: Convert to fraction form
    29,756,742/64,479,203 = 64,479,203/x
  3. Step 3: Cross multiply
    29,756,742x = 64,479,203 × 64,479,203
  4. Step 4: Simplify right side
    29,756,742x = 4,157,567,619,515,209
  5. Step 5: Solve for x
    x = 4,157,567,619,515,209/29,756,742
  6. Step 6: Final answer
    x = 139,718,508.82

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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.