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Finding the Third Proportional to 384,675,603 and 907,171,966

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Solution

The third proportional to 384,675,603 and 907,171,966 is: 2,139,363,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,675,603 : 907,171,966 = 907,171,966 : x
  2. Step 2: Convert to fraction form
    384,675,603/907,171,966 = 907,171,966/x
  3. Step 3: Cross multiply
    384,675,603x = 907,171,966 × 907,171,966
  4. Step 4: Simplify right side
    384,675,603x = 822,960,975,896,305,152
  5. Step 5: Solve for x
    x = 822,960,975,896,305,152/384,675,603
  6. Step 6: Final answer
    x = 2,139,363,581.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.