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Finding the Third Proportional to 5,611,789,569 and 7,845,612,099

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Solution

The third proportional to 5,611,789,569 and 7,845,612,099 is: 10,968,627,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611,789,569 : 7,845,612,099 = 7,845,612,099 : x
  2. Step 2: Convert to fraction form
    5,611,789,569/7,845,612,099 = 7,845,612,099/x
  3. Step 3: Cross multiply
    5,611,789,569x = 7,845,612,099 × 7,845,612,099
  4. Step 4: Simplify right side
    5,611,789,569x = 61,553,629,207,975,182,336
  5. Step 5: Solve for x
    x = 61,553,629,207,975,182,336/5,611,789,569
  6. Step 6: Final answer
    x = 10,968,627,467.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.