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Finding the Third Proportional to 308,287,461 and 445,422,125

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Solution

The third proportional to 308,287,461 and 445,422,125 is: 643,558,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,287,461 : 445,422,125 = 445,422,125 : x
  2. Step 2: Convert to fraction form
    308,287,461/445,422,125 = 445,422,125/x
  3. Step 3: Cross multiply
    308,287,461x = 445,422,125 × 445,422,125
  4. Step 4: Simplify right side
    308,287,461x = 198,400,869,439,515,616
  5. Step 5: Solve for x
    x = 198,400,869,439,515,616/308,287,461
  6. Step 6: Final answer
    x = 643,558,024.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.