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Finding the Third Proportional to 3,316,905 and 6,968,016

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Solution

The third proportional to 3,316,905 and 6,968,016 is: 14,638,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316,905 : 6,968,016 = 6,968,016 : x
  2. Step 2: Convert to fraction form
    3,316,905/6,968,016 = 6,968,016/x
  3. Step 3: Cross multiply
    3,316,905x = 6,968,016 × 6,968,016
  4. Step 4: Simplify right side
    3,316,905x = 48,553,246,976,256
  5. Step 5: Solve for x
    x = 48,553,246,976,256/3,316,905
  6. Step 6: Final answer
    x = 14,638,118.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.