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Finding the Third Proportional to 970,831,234 and 2,139,548,790

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Solution

The third proportional to 970,831,234 and 2,139,548,790 is: 4,715,205,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,831,234 : 2,139,548,790 = 2,139,548,790 : x
  2. Step 2: Convert to fraction form
    970,831,234/2,139,548,790 = 2,139,548,790/x
  3. Step 3: Cross multiply
    970,831,234x = 2,139,548,790 × 2,139,548,790
  4. Step 4: Simplify right side
    970,831,234x = 4,577,669,024,790,464,000
  5. Step 5: Solve for x
    x = 4,577,669,024,790,464,000/970,831,234
  6. Step 6: Final answer
    x = 4,715,205,758.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.