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Finding the Third Proportional to 6,999,729 and 14,484,978

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Solution

The third proportional to 6,999,729 and 14,484,978 is: 29,974,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999,729 : 14,484,978 = 14,484,978 : x
  2. Step 2: Convert to fraction form
    6,999,729/14,484,978 = 14,484,978/x
  3. Step 3: Cross multiply
    6,999,729x = 14,484,978 × 14,484,978
  4. Step 4: Simplify right side
    6,999,729x = 209,814,587,660,484
  5. Step 5: Solve for x
    x = 209,814,587,660,484/6,999,729
  6. Step 6: Final answer
    x = 29,974,672.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.