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Finding the Third Proportional to 413,955,912 and 908,343,303

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Solution

The third proportional to 413,955,912 and 908,343,303 is: 1,993,177,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,955,912 : 908,343,303 = 908,343,303 : x
  2. Step 2: Convert to fraction form
    413,955,912/908,343,303 = 908,343,303/x
  3. Step 3: Cross multiply
    413,955,912x = 908,343,303 × 908,343,303
  4. Step 4: Simplify right side
    413,955,912x = 825,087,556,104,949,760
  5. Step 5: Solve for x
    x = 825,087,556,104,949,760/413,955,912
  6. Step 6: Final answer
    x = 1,993,177,370.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.