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Finding the Third Proportional to 2,996,784 and 6,473,115

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Solution

The third proportional to 2,996,784 and 6,473,115 is: 13,982,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,784 : 6,473,115 = 6,473,115 : x
  2. Step 2: Convert to fraction form
    2,996,784/6,473,115 = 6,473,115/x
  3. Step 3: Cross multiply
    2,996,784x = 6,473,115 × 6,473,115
  4. Step 4: Simplify right side
    2,996,784x = 41,901,217,803,225
  5. Step 5: Solve for x
    x = 41,901,217,803,225/2,996,784
  6. Step 6: Final answer
    x = 13,982,061.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.