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Finding the Third Proportional to 66,430,616 and 144,949,327

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Solution

The third proportional to 66,430,616 and 144,949,327 is: 316,274,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,430,616 : 144,949,327 = 144,949,327 : x
  2. Step 2: Convert to fraction form
    66,430,616/144,949,327 = 144,949,327/x
  3. Step 3: Cross multiply
    66,430,616x = 144,949,327 × 144,949,327
  4. Step 4: Simplify right side
    66,430,616x = 21,010,307,397,752,928
  5. Step 5: Solve for x
    x = 21,010,307,397,752,928/66,430,616
  6. Step 6: Final answer
    x = 316,274,462.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.