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Finding the Third Proportional to 698,188,294 and 1,518,958,069

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Solution

The third proportional to 698,188,294 and 1,518,958,069 is: 3,304,600,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,188,294 : 1,518,958,069 = 1,518,958,069 : x
  2. Step 2: Convert to fraction form
    698,188,294/1,518,958,069 = 1,518,958,069/x
  3. Step 3: Cross multiply
    698,188,294x = 1,518,958,069 × 1,518,958,069
  4. Step 4: Simplify right side
    698,188,294x = 2,307,233,615,380,208,640
  5. Step 5: Solve for x
    x = 2,307,233,615,380,208,640/698,188,294
  6. Step 6: Final answer
    x = 3,304,600,829.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.