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Finding the Third Proportional to 6,930,414 and 10,666,257

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Solution

The third proportional to 6,930,414 and 10,666,257 is: 16,415,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930,414 : 10,666,257 = 10,666,257 : x
  2. Step 2: Convert to fraction form
    6,930,414/10,666,257 = 10,666,257/x
  3. Step 3: Cross multiply
    6,930,414x = 10,666,257 × 10,666,257
  4. Step 4: Simplify right side
    6,930,414x = 113,769,038,390,049
  5. Step 5: Solve for x
    x = 113,769,038,390,049/6,930,414
  6. Step 6: Final answer
    x = 16,415,907.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.