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Finding the Third Proportional to 1,904,273,988 and 2,941,308,144

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Solution

The third proportional to 1,904,273,988 and 2,941,308,144 is: 4,543,092,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904,273,988 : 2,941,308,144 = 2,941,308,144 : x
  2. Step 2: Convert to fraction form
    1,904,273,988/2,941,308,144 = 2,941,308,144/x
  3. Step 3: Cross multiply
    1,904,273,988x = 2,941,308,144 × 2,941,308,144
  4. Step 4: Simplify right side
    1,904,273,988x = 8,651,293,597,960,724,480
  5. Step 5: Solve for x
    x = 8,651,293,597,960,724,480/1,904,273,988
  6. Step 6: Final answer
    x = 4,543,092,880.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.