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Finding the Third Proportional to 1,011,758,292 and 2,256,152,470.50

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Solution

The third proportional to 1,011,758,292 and 2,256,152,470.50 is: 5,031,067,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,758,292 : 2,256,152,470.50 = 2,256,152,470.50 : x
  2. Step 2: Convert to fraction form
    1,011,758,292/2,256,152,470.50 = 2,256,152,470.50/x
  3. Step 3: Cross multiply
    1,011,758,292x = 2,256,152,470.50 × 2,256,152,470.50
  4. Step 4: Simplify right side
    1,011,758,292x = 5,090,223,970,143,253,504
  5. Step 5: Solve for x
    x = 5,090,223,970,143,253,504/1,011,758,292
  6. Step 6: Final answer
    x = 5,031,067,212.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.