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Finding the Third Proportional to 29,472,334,716 and 64,108,527,203

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Solution

The third proportional to 29,472,334,716 and 64,108,527,203 is: 139,449,531,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,472,334,716 : 64,108,527,203 = 64,108,527,203 : x
  2. Step 2: Convert to fraction form
    29,472,334,716/64,108,527,203 = 64,108,527,203/x
  3. Step 3: Cross multiply
    29,472,334,716x = 64,108,527,203 × 64,108,527,203
  4. Step 4: Simplify right side
    29,472,334,716x = 4,109,903,260,137,790,898,176
  5. Step 5: Solve for x
    x = 4,109,903,260,137,790,898,176/29,472,334,716
  6. Step 6: Final answer
    x = 139,449,531,221.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.