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Finding the Third Proportional to 3,016,861,688 and 6,494,793,754

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Solution

The third proportional to 3,016,861,688 and 6,494,793,754 is: 13,982,194,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016,861,688 : 6,494,793,754 = 6,494,793,754 : x
  2. Step 2: Convert to fraction form
    3,016,861,688/6,494,793,754 = 6,494,793,754/x
  3. Step 3: Cross multiply
    3,016,861,688x = 6,494,793,754 × 6,494,793,754
  4. Step 4: Simplify right side
    3,016,861,688x = 42,182,345,906,997,411,840
  5. Step 5: Solve for x
    x = 42,182,345,906,997,411,840/3,016,861,688
  6. Step 6: Final answer
    x = 13,982,194,170.45

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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.