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Finding the Third Proportional to 8,148,051 and 16,965,507

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Solution

The third proportional to 8,148,051 and 16,965,507 is: 35,324,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,051 : 16,965,507 = 16,965,507 : x
  2. Step 2: Convert to fraction form
    8,148,051/16,965,507 = 16,965,507/x
  3. Step 3: Cross multiply
    8,148,051x = 16,965,507 × 16,965,507
  4. Step 4: Simplify right side
    8,148,051x = 287,828,427,767,049
  5. Step 5: Solve for x
    x = 287,828,427,767,049/8,148,051
  6. Step 6: Final answer
    x = 35,324,819.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.