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Finding the Third Proportional to 6,767,528 and 14,650,192

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Solution

The third proportional to 6,767,528 and 14,650,192 is: 31,714,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767,528 : 14,650,192 = 14,650,192 : x
  2. Step 2: Convert to fraction form
    6,767,528/14,650,192 = 14,650,192/x
  3. Step 3: Cross multiply
    6,767,528x = 14,650,192 × 14,650,192
  4. Step 4: Simplify right side
    6,767,528x = 214,628,125,636,864
  5. Step 5: Solve for x
    x = 214,628,125,636,864/6,767,528
  6. Step 6: Final answer
    x = 31,714,405.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.