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Finding the Third Proportional to 310,952,451 and 680,481,798

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Solution

The third proportional to 310,952,451 and 680,481,798 is: 1,489,152,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,952,451 : 680,481,798 = 680,481,798 : x
  2. Step 2: Convert to fraction form
    310,952,451/680,481,798 = 680,481,798/x
  3. Step 3: Cross multiply
    310,952,451x = 680,481,798 × 680,481,798
  4. Step 4: Simplify right side
    310,952,451x = 463,055,477,409,312,832
  5. Step 5: Solve for x
    x = 463,055,477,409,312,832/310,952,451
  6. Step 6: Final answer
    x = 1,489,152,042.12

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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.