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Finding the Third Proportional to 27,065,714 and 63,870,239

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Solution

The third proportional to 27,065,714 and 63,870,239 is: 150,722,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065,714 : 63,870,239 = 63,870,239 : x
  2. Step 2: Convert to fraction form
    27,065,714/63,870,239 = 63,870,239/x
  3. Step 3: Cross multiply
    27,065,714x = 63,870,239 × 63,870,239
  4. Step 4: Simplify right side
    27,065,714x = 4,079,407,429,917,121
  5. Step 5: Solve for x
    x = 4,079,407,429,917,121/27,065,714
  6. Step 6: Final answer
    x = 150,722,328.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.