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Finding the Third Proportional to 66,025,440 and 144,805,450

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Solution

The third proportional to 66,025,440 and 144,805,450 is: 317,583,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025,440 : 144,805,450 = 144,805,450 : x
  2. Step 2: Convert to fraction form
    66,025,440/144,805,450 = 144,805,450/x
  3. Step 3: Cross multiply
    66,025,440x = 144,805,450 × 144,805,450
  4. Step 4: Simplify right side
    66,025,440x = 20,968,618,349,702,500
  5. Step 5: Solve for x
    x = 20,968,618,349,702,500/66,025,440
  6. Step 6: Final answer
    x = 317,583,924.46

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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.