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Finding the Third Proportional to 117,049,570 and 257,268,380

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Solution

The third proportional to 117,049,570 and 257,268,380 is: 565,461,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,049,570 : 257,268,380 = 257,268,380 : x
  2. Step 2: Convert to fraction form
    117,049,570/257,268,380 = 257,268,380/x
  3. Step 3: Cross multiply
    117,049,570x = 257,268,380 × 257,268,380
  4. Step 4: Simplify right side
    117,049,570x = 66,187,019,347,824,400
  5. Step 5: Solve for x
    x = 66,187,019,347,824,400/117,049,570
  6. Step 6: Final answer
    x = 565,461,448.07

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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.