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Finding the Third Proportional to 2,113,797,260 and 4,420,330,456

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Solution

The third proportional to 2,113,797,260 and 4,420,330,456 is: 9,243,706,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113,797,260 : 4,420,330,456 = 4,420,330,456 : x
  2. Step 2: Convert to fraction form
    2,113,797,260/4,420,330,456 = 4,420,330,456/x
  3. Step 3: Cross multiply
    2,113,797,260x = 4,420,330,456 × 4,420,330,456
  4. Step 4: Simplify right side
    2,113,797,260x = 19,539,321,340,241,166,336
  5. Step 5: Solve for x
    x = 19,539,321,340,241,166,336/2,113,797,260
  6. Step 6: Final answer
    x = 9,243,706,437.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.