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Finding the Third Proportional to 3,009,894 and 6,427,992

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Solution

The third proportional to 3,009,894 and 6,427,992 is: 13,727,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009,894 : 6,427,992 = 6,427,992 : x
  2. Step 2: Convert to fraction form
    3,009,894/6,427,992 = 6,427,992/x
  3. Step 3: Cross multiply
    3,009,894x = 6,427,992 × 6,427,992
  4. Step 4: Simplify right side
    3,009,894x = 41,319,081,152,064
  5. Step 5: Solve for x
    x = 41,319,081,152,064/3,009,894
  6. Step 6: Final answer
    x = 13,727,752.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.