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Finding the Third Proportional to 310,952,450 and 680,481,796

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Solution

The third proportional to 310,952,450 and 680,481,796 is: 1,489,152,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,952,450 : 680,481,796 = 680,481,796 : x
  2. Step 2: Convert to fraction form
    310,952,450/680,481,796 = 680,481,796/x
  3. Step 3: Cross multiply
    310,952,450x = 680,481,796 × 680,481,796
  4. Step 4: Simplify right side
    310,952,450x = 463,055,474,687,385,600
  5. Step 5: Solve for x
    x = 463,055,474,687,385,600/310,952,450
  6. Step 6: Final answer
    x = 1,489,152,038.16

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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.