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Finding the Third Proportional to 3,146,701,638 and 4,718,896,986

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Solution

The third proportional to 3,146,701,638 and 4,718,896,986 is: 7,076,612,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146,701,638 : 4,718,896,986 = 4,718,896,986 : x
  2. Step 2: Convert to fraction form
    3,146,701,638/4,718,896,986 = 4,718,896,986/x
  3. Step 3: Cross multiply
    3,146,701,638x = 4,718,896,986 × 4,718,896,986
  4. Step 4: Simplify right side
    3,146,701,638x = 22,267,988,764,479,885,312
  5. Step 5: Solve for x
    x = 22,267,988,764,479,885,312/3,146,701,638
  6. Step 6: Final answer
    x = 7,076,612,696.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.