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Finding the Third Proportional to 7,664,798 and 12,023,823

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Solution

The third proportional to 7,664,798 and 12,023,823 is: 18,861,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,798 : 12,023,823 = 12,023,823 : x
  2. Step 2: Convert to fraction form
    7,664,798/12,023,823 = 12,023,823/x
  3. Step 3: Cross multiply
    7,664,798x = 12,023,823 × 12,023,823
  4. Step 4: Simplify right side
    7,664,798x = 144,572,319,535,329
  5. Step 5: Solve for x
    x = 144,572,319,535,329/7,664,798
  6. Step 6: Final answer
    x = 18,861,856.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.