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Finding the Third Proportional to 3,384,371 and 7,386,097

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Solution

The third proportional to 3,384,371 and 7,386,097 is: 16,119,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,371 : 7,386,097 = 7,386,097 : x
  2. Step 2: Convert to fraction form
    3,384,371/7,386,097 = 7,386,097/x
  3. Step 3: Cross multiply
    3,384,371x = 7,386,097 × 7,386,097
  4. Step 4: Simplify right side
    3,384,371x = 54,554,428,893,409
  5. Step 5: Solve for x
    x = 54,554,428,893,409/3,384,371
  6. Step 6: Final answer
    x = 16,119,517.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.