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Finding the Third Proportional to 2,931,831 and 6,306,894

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Solution

The third proportional to 2,931,831 and 6,306,894 is: 13,567,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,831 : 6,306,894 = 6,306,894 : x
  2. Step 2: Convert to fraction form
    2,931,831/6,306,894 = 6,306,894/x
  3. Step 3: Cross multiply
    2,931,831x = 6,306,894 × 6,306,894
  4. Step 4: Simplify right side
    2,931,831x = 39,776,911,927,236
  5. Step 5: Solve for x
    x = 39,776,911,927,236/2,931,831
  6. Step 6: Final answer
    x = 13,567,259.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.