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Finding the Third Proportional to 334,455,048 and 720,164,616

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Solution

The third proportional to 334,455,048 and 720,164,616 is: 1,550,692,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,455,048 : 720,164,616 = 720,164,616 : x
  2. Step 2: Convert to fraction form
    334,455,048/720,164,616 = 720,164,616/x
  3. Step 3: Cross multiply
    334,455,048x = 720,164,616 × 720,164,616
  4. Step 4: Simplify right side
    334,455,048x = 518,637,074,138,427,456
  5. Step 5: Solve for x
    x = 518,637,074,138,427,456/334,455,048
  6. Step 6: Final answer
    x = 1,550,692,917.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.