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Finding the Third Proportional to 66,025,418 and 144,805,406

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Solution

The third proportional to 66,025,418 and 144,805,406 is: 317,583,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025,418 : 144,805,406 = 144,805,406 : x
  2. Step 2: Convert to fraction form
    66,025,418/144,805,406 = 144,805,406/x
  3. Step 3: Cross multiply
    66,025,418x = 144,805,406 × 144,805,406
  4. Step 4: Simplify right side
    66,025,418x = 20,968,605,606,824,836
  5. Step 5: Solve for x
    x = 20,968,605,606,824,836/66,025,418
  6. Step 6: Final answer
    x = 317,583,837.29

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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.