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Finding the Third Proportional to 916,670,414 and 1,453,896,177

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Solution

The third proportional to 916,670,414 and 1,453,896,177 is: 2,305,969,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,670,414 : 1,453,896,177 = 1,453,896,177 : x
  2. Step 2: Convert to fraction form
    916,670,414/1,453,896,177 = 1,453,896,177/x
  3. Step 3: Cross multiply
    916,670,414x = 1,453,896,177 × 1,453,896,177
  4. Step 4: Simplify right side
    916,670,414x = 2,113,814,093,495,215,360
  5. Step 5: Solve for x
    x = 2,113,814,093,495,215,360/916,670,414
  6. Step 6: Final answer
    x = 2,305,969,584.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.