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Finding the Third Proportional to 6,817,272 and 10,852,863

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Solution

The third proportional to 6,817,272 and 10,852,863 is: 17,277,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817,272 : 10,852,863 = 10,852,863 : x
  2. Step 2: Convert to fraction form
    6,817,272/10,852,863 = 10,852,863/x
  3. Step 3: Cross multiply
    6,817,272x = 10,852,863 × 10,852,863
  4. Step 4: Simplify right side
    6,817,272x = 117,784,635,296,769
  5. Step 5: Solve for x
    x = 117,784,635,296,769/6,817,272
  6. Step 6: Final answer
    x = 17,277,385.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.