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Finding the Third Proportional to 29,782,240 and 64,509,864

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Solution

The third proportional to 29,782,240 and 64,509,864 is: 139,731,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782,240 : 64,509,864 = 64,509,864 : x
  2. Step 2: Convert to fraction form
    29,782,240/64,509,864 = 64,509,864/x
  3. Step 3: Cross multiply
    29,782,240x = 64,509,864 × 64,509,864
  4. Step 4: Simplify right side
    29,782,240x = 4,161,522,553,298,496
  5. Step 5: Solve for x
    x = 4,161,522,553,298,496/29,782,240
  6. Step 6: Final answer
    x = 139,731,684.16

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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.