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Finding the Third Proportional to 66,025,370 and 144,805,324

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Solution

The third proportional to 66,025,370 and 144,805,324 is: 317,583,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025,370 : 144,805,324 = 144,805,324 : x
  2. Step 2: Convert to fraction form
    66,025,370/144,805,324 = 144,805,324/x
  3. Step 3: Cross multiply
    66,025,370x = 144,805,324 × 144,805,324
  4. Step 4: Simplify right side
    66,025,370x = 20,968,581,858,744,976
  5. Step 5: Solve for x
    x = 20,968,581,858,744,976/66,025,370
  6. Step 6: Final answer
    x = 317,583,708.49

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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.