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Finding the Third Proportional to 12,318,684 and 25,417,884

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Solution

The third proportional to 12,318,684 and 25,417,884 is: 52,446,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318,684 : 25,417,884 = 25,417,884 : x
  2. Step 2: Convert to fraction form
    12,318,684/25,417,884 = 25,417,884/x
  3. Step 3: Cross multiply
    12,318,684x = 25,417,884 × 25,417,884
  4. Step 4: Simplify right side
    12,318,684x = 646,068,827,037,456
  5. Step 5: Solve for x
    x = 646,068,827,037,456/12,318,684
  6. Step 6: Final answer
    x = 52,446,253.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.