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Finding the Third Proportional to 60,782,094,548 and 132,027,484,516

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Solution

The third proportional to 60,782,094,548 and 132,027,484,516 is: 286,782,757,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,782,094,548 : 132,027,484,516 = 132,027,484,516 : x
  2. Step 2: Convert to fraction form
    60,782,094,548/132,027,484,516 = 132,027,484,516/x
  3. Step 3: Cross multiply
    60,782,094,548x = 132,027,484,516 × 132,027,484,516
  4. Step 4: Simplify right side
    60,782,094,548x = 17,431,256,667,622,620,528,640
  5. Step 5: Solve for x
    x = 17,431,256,667,622,620,528,640/60,782,094,548
  6. Step 6: Final answer
    x = 286,782,757,278.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.