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Finding the Third Proportional to 7,199,646 and 14,688,948

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Solution

The third proportional to 7,199,646 and 14,688,948 is: 29,968,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199,646 : 14,688,948 = 14,688,948 : x
  2. Step 2: Convert to fraction form
    7,199,646/14,688,948 = 14,688,948/x
  3. Step 3: Cross multiply
    7,199,646x = 14,688,948 × 14,688,948
  4. Step 4: Simplify right side
    7,199,646x = 215,765,193,346,704
  5. Step 5: Solve for x
    x = 215,765,193,346,704/7,199,646
  6. Step 6: Final answer
    x = 29,968,861.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.