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Finding the Third Proportional to 310,843,467 and 680,090,082

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Solution

The third proportional to 310,843,467 and 680,090,082 is: 1,487,959,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843,467 : 680,090,082 = 680,090,082 : x
  2. Step 2: Convert to fraction form
    310,843,467/680,090,082 = 680,090,082/x
  3. Step 3: Cross multiply
    310,843,467x = 680,090,082 × 680,090,082
  4. Step 4: Simplify right side
    310,843,467x = 462,522,519,634,766,720
  5. Step 5: Solve for x
    x = 462,522,519,634,766,720/310,843,467
  6. Step 6: Final answer
    x = 1,487,959,596.19

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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.