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Finding the Third Proportional to 986,863,350 and 2,194,314,972

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Solution

The third proportional to 986,863,350 and 2,194,314,972 is: 4,879,113,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,863,350 : 2,194,314,972 = 2,194,314,972 : x
  2. Step 2: Convert to fraction form
    986,863,350/2,194,314,972 = 2,194,314,972/x
  3. Step 3: Cross multiply
    986,863,350x = 2,194,314,972 × 2,194,314,972
  4. Step 4: Simplify right side
    986,863,350x = 4,815,018,196,343,360,512
  5. Step 5: Solve for x
    x = 4,815,018,196,343,360,512/986,863,350
  6. Step 6: Final answer
    x = 4,879,113,401.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.