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Finding the Third Proportional to 2,931,832 and 6,306,896

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Solution

The third proportional to 2,931,832 and 6,306,896 is: 13,567,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,832 : 6,306,896 = 6,306,896 : x
  2. Step 2: Convert to fraction form
    2,931,832/6,306,896 = 6,306,896/x
  3. Step 3: Cross multiply
    2,931,832x = 6,306,896 × 6,306,896
  4. Step 4: Simplify right side
    2,931,832x = 39,776,937,154,816
  5. Step 5: Solve for x
    x = 39,776,937,154,816/2,931,832
  6. Step 6: Final answer
    x = 13,567,263.46

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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.