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Finding the Third Proportional to 3,016,861,587 and 6,494,793,558

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Solution

The third proportional to 3,016,861,587 and 6,494,793,558 is: 13,982,193,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016,861,587 : 6,494,793,558 = 6,494,793,558 : x
  2. Step 2: Convert to fraction form
    3,016,861,587/6,494,793,558 = 6,494,793,558/x
  3. Step 3: Cross multiply
    3,016,861,587x = 6,494,793,558 × 6,494,793,558
  4. Step 4: Simplify right side
    3,016,861,587x = 42,182,343,361,038,303,232
  5. Step 5: Solve for x
    x = 42,182,343,361,038,303,232/3,016,861,587
  6. Step 6: Final answer
    x = 13,982,193,794.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.