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Finding the Third Proportional to 980,420,598 and 2,115,777,510

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Solution

The third proportional to 980,420,598 and 2,115,777,510 is: 4,565,912,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,420,598 : 2,115,777,510 = 2,115,777,510 : x
  2. Step 2: Convert to fraction form
    980,420,598/2,115,777,510 = 2,115,777,510/x
  3. Step 3: Cross multiply
    980,420,598x = 2,115,777,510 × 2,115,777,510
  4. Step 4: Simplify right side
    980,420,598x = 4,476,514,471,821,799,936
  5. Step 5: Solve for x
    x = 4,476,514,471,821,799,936/980,420,598
  6. Step 6: Final answer
    x = 4,565,912,304.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.