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Finding the Third Proportional to 113,165,496 and 247,515,735

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Solution

The third proportional to 113,165,496 and 247,515,735 is: 541,366,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,165,496 : 247,515,735 = 247,515,735 : x
  2. Step 2: Convert to fraction form
    113,165,496/247,515,735 = 247,515,735/x
  3. Step 3: Cross multiply
    113,165,496x = 247,515,735 × 247,515,735
  4. Step 4: Simplify right side
    113,165,496x = 61,264,039,072,590,224
  5. Step 5: Solve for x
    x = 61,264,039,072,590,224/113,165,496
  6. Step 6: Final answer
    x = 541,366,770.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.