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Finding the Third Proportional to 968,473,676 and 1,358,960,286

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Solution

The third proportional to 968,473,676 and 1,358,960,286 is: 1,906,890,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,473,676 : 1,358,960,286 = 1,358,960,286 : x
  2. Step 2: Convert to fraction form
    968,473,676/1,358,960,286 = 1,358,960,286/x
  3. Step 3: Cross multiply
    968,473,676x = 1,358,960,286 × 1,358,960,286
  4. Step 4: Simplify right side
    968,473,676x = 1,846,773,058,925,201,920
  5. Step 5: Solve for x
    x = 1,846,773,058,925,201,920/968,473,676
  6. Step 6: Final answer
    x = 1,906,890,300.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.