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Finding the Third Proportional to 6,530,304 and 14,124,384

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Solution

The third proportional to 6,530,304 and 14,124,384 is: 30,549,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530,304 : 14,124,384 = 14,124,384 : x
  2. Step 2: Convert to fraction form
    6,530,304/14,124,384 = 14,124,384/x
  3. Step 3: Cross multiply
    6,530,304x = 14,124,384 × 14,124,384
  4. Step 4: Simplify right side
    6,530,304x = 199,498,223,379,456
  5. Step 5: Solve for x
    x = 199,498,223,379,456/6,530,304
  6. Step 6: Final answer
    x = 30,549,607.40

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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.