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Finding the Third Proportional to 35,875,584 and 84,223,638

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Solution

The third proportional to 35,875,584 and 84,223,638 is: 197,728,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,875,584 : 84,223,638 = 84,223,638 : x
  2. Step 2: Convert to fraction form
    35,875,584/84,223,638 = 84,223,638/x
  3. Step 3: Cross multiply
    35,875,584x = 84,223,638 × 84,223,638
  4. Step 4: Simplify right side
    35,875,584x = 7,093,621,197,955,044
  5. Step 5: Solve for x
    x = 7,093,621,197,955,044/35,875,584
  6. Step 6: Final answer
    x = 197,728,382.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.