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Finding the Third Proportional to 6,553,419 and 9,830,124

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Solution

The third proportional to 6,553,419 and 9,830,124 is: 14,745,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,419 : 9,830,124 = 9,830,124 : x
  2. Step 2: Convert to fraction form
    6,553,419/9,830,124 = 9,830,124/x
  3. Step 3: Cross multiply
    6,553,419x = 9,830,124 × 9,830,124
  4. Step 4: Simplify right side
    6,553,419x = 96,631,337,855,376
  5. Step 5: Solve for x
    x = 96,631,337,855,376/6,553,419
  6. Step 6: Final answer
    x = 14,745,179.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.