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Finding the Third Proportional to 6,810,421 and 14,451,038

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Solution

The third proportional to 6,810,421 and 14,451,038 is: 30,663,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810,421 : 14,451,038 = 14,451,038 : x
  2. Step 2: Convert to fraction form
    6,810,421/14,451,038 = 14,451,038/x
  3. Step 3: Cross multiply
    6,810,421x = 14,451,038 × 14,451,038
  4. Step 4: Simplify right side
    6,810,421x = 208,832,499,277,444
  5. Step 5: Solve for x
    x = 208,832,499,277,444/6,810,421
  6. Step 6: Final answer
    x = 30,663,669.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.