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Finding the Third Proportional to 770,278,896 and 1,640,166,063.75

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Solution

The third proportional to 770,278,896 and 1,640,166,063.75 is: 3,492,429,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,278,896 : 1,640,166,063.75 = 1,640,166,063.75 : x
  2. Step 2: Convert to fraction form
    770,278,896/1,640,166,063.75 = 1,640,166,063.75/x
  3. Step 3: Cross multiply
    770,278,896x = 1,640,166,063.75 × 1,640,166,063.75
  4. Step 4: Simplify right side
    770,278,896x = 2,690,144,716,677,169,152
  5. Step 5: Solve for x
    x = 2,690,144,716,677,169,152/770,278,896
  6. Step 6: Final answer
    x = 3,492,429,470.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.