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Finding the Third Proportional to 6,771,074 and 14,646,553

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Solution

The third proportional to 6,771,074 and 14,646,553 is: 31,682,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771,074 : 14,646,553 = 14,646,553 : x
  2. Step 2: Convert to fraction form
    6,771,074/14,646,553 = 14,646,553/x
  3. Step 3: Cross multiply
    6,771,074x = 14,646,553 × 14,646,553
  4. Step 4: Simplify right side
    6,771,074x = 214,521,514,781,809
  5. Step 5: Solve for x
    x = 214,521,514,781,809/6,771,074
  6. Step 6: Final answer
    x = 31,682,051.44

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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.