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Finding the Third Proportional to 3,024,930 and 6,646,128

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Solution

The third proportional to 3,024,930 and 6,646,128 is: 14,602,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024,930 : 6,646,128 = 6,646,128 : x
  2. Step 2: Convert to fraction form
    3,024,930/6,646,128 = 6,646,128/x
  3. Step 3: Cross multiply
    3,024,930x = 6,646,128 × 6,646,128
  4. Step 4: Simplify right side
    3,024,930x = 44,171,017,392,384
  5. Step 5: Solve for x
    x = 44,171,017,392,384/3,024,930
  6. Step 6: Final answer
    x = 14,602,327.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.