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Finding the Third Proportional to 611,335,056 and 1,342,768,626

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Solution

The third proportional to 611,335,056 and 1,342,768,626 is: 2,949,327,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,335,056 : 1,342,768,626 = 1,342,768,626 : x
  2. Step 2: Convert to fraction form
    611,335,056/1,342,768,626 = 1,342,768,626/x
  3. Step 3: Cross multiply
    611,335,056x = 1,342,768,626 × 1,342,768,626
  4. Step 4: Simplify right side
    611,335,056x = 1,803,027,582,969,927,936
  5. Step 5: Solve for x
    x = 1,803,027,582,969,927,936/611,335,056
  6. Step 6: Final answer
    x = 2,949,327,975.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.