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Finding the Third Proportional to 2,993,424 and 6,566,304

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Solution

The third proportional to 2,993,424 and 6,566,304 is: 14,403,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993,424 : 6,566,304 = 6,566,304 : x
  2. Step 2: Convert to fraction form
    2,993,424/6,566,304 = 6,566,304/x
  3. Step 3: Cross multiply
    2,993,424x = 6,566,304 × 6,566,304
  4. Step 4: Simplify right side
    2,993,424x = 43,116,348,220,416
  5. Step 5: Solve for x
    x = 43,116,348,220,416/2,993,424
  6. Step 6: Final answer
    x = 14,403,688.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.