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Finding the Third Proportional to 351,702,831 and 748,893,075

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Solution

The third proportional to 351,702,831 and 748,893,075 is: 1,594,644,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,702,831 : 748,893,075 = 748,893,075 : x
  2. Step 2: Convert to fraction form
    351,702,831/748,893,075 = 748,893,075/x
  3. Step 3: Cross multiply
    351,702,831x = 748,893,075 × 748,893,075
  4. Step 4: Simplify right side
    351,702,831x = 560,840,837,782,955,648
  5. Step 5: Solve for x
    x = 560,840,837,782,955,648/351,702,831
  6. Step 6: Final answer
    x = 1,594,644,081.16

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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.