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Finding the Third Proportional to 501,614,815.50 and 1,048,966,767

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Solution

The third proportional to 501,614,815.50 and 1,048,966,767 is: 2,193,578,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,614,815.50 : 1,048,966,767 = 1,048,966,767 : x
  2. Step 2: Convert to fraction form
    501,614,815.50/1,048,966,767 = 1,048,966,767/x
  3. Step 3: Cross multiply
    501,614,815.50x = 1,048,966,767 × 1,048,966,767
  4. Step 4: Simplify right side
    501,614,815.50x = 1,100,331,278,270,432,256
  5. Step 5: Solve for x
    x = 1,100,331,278,270,432,256/501,614,815.50
  6. Step 6: Final answer
    x = 2,193,578,108.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.