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Finding the Third Proportional to 35,167,536 and 74,980,224

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Solution

The third proportional to 35,167,536 and 74,980,224 is: 159,864,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,167,536 : 74,980,224 = 74,980,224 : x
  2. Step 2: Convert to fraction form
    35,167,536/74,980,224 = 74,980,224/x
  3. Step 3: Cross multiply
    35,167,536x = 74,980,224 × 74,980,224
  4. Step 4: Simplify right side
    35,167,536x = 5,622,033,991,090,176
  5. Step 5: Solve for x
    x = 5,622,033,991,090,176/35,167,536
  6. Step 6: Final answer
    x = 159,864,313.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.