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Finding the Third Proportional to 125,538,294 and 270,313,440

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Solution

The third proportional to 125,538,294 and 270,313,440 is: 582,048,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,538,294 : 270,313,440 = 270,313,440 : x
  2. Step 2: Convert to fraction form
    125,538,294/270,313,440 = 270,313,440/x
  3. Step 3: Cross multiply
    125,538,294x = 270,313,440 × 270,313,440
  4. Step 4: Simplify right side
    125,538,294x = 73,069,355,844,633,600
  5. Step 5: Solve for x
    x = 73,069,355,844,633,600/125,538,294
  6. Step 6: Final answer
    x = 582,048,341.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.