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Finding the Third Proportional to 965,780,543 and 2,092,005,622

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Solution

The third proportional to 965,780,543 and 2,092,005,622 is: 4,531,554,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,780,543 : 2,092,005,622 = 2,092,005,622 : x
  2. Step 2: Convert to fraction form
    965,780,543/2,092,005,622 = 2,092,005,622/x
  3. Step 3: Cross multiply
    965,780,543x = 2,092,005,622 × 2,092,005,622
  4. Step 4: Simplify right side
    965,780,543x = 4,376,487,522,479,606,784
  5. Step 5: Solve for x
    x = 4,376,487,522,479,606,784/965,780,543
  6. Step 6: Final answer
    x = 4,531,554,869.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.