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Finding the Third Proportional to 4,061,049,907,652 and 6,143,805,527,720

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Solution

The third proportional to 4,061,049,907,652 and 6,143,805,527,720 is: 9,294,726,048,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061,049,907,652 : 6,143,805,527,720 = 6,143,805,527,720 : x
  2. Step 2: Convert to fraction form
    4,061,049,907,652/6,143,805,527,720 = 6,143,805,527,720/x
  3. Step 3: Cross multiply
    4,061,049,907,652x = 6,143,805,527,720 × 6,143,805,527,720
  4. Step 4: Simplify right side
    4,061,049,907,652x = 37,746,346,362,442,827,215,929,344
  5. Step 5: Solve for x
    x = 37,746,346,362,442,827,215,929,344/4,061,049,907,652
  6. Step 6: Final answer
    x = 9,294,726,048,877.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.