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Finding the Third Proportional to 310,843,504.13 and 680,090,023.13

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Solution

The third proportional to 310,843,504.13 and 680,090,023.13 is: 1,487,959,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843,504.13 : 680,090,023.13 = 680,090,023.13 : x
  2. Step 2: Convert to fraction form
    310,843,504.13/680,090,023.13 = 680,090,023.13/x
  3. Step 3: Cross multiply
    310,843,504.13x = 680,090,023.13 × 680,090,023.13
  4. Step 4: Simplify right side
    310,843,504.13x = 462,522,439,554,163,008
  5. Step 5: Solve for x
    x = 462,522,439,554,163,008/310,843,504.13
  6. Step 6: Final answer
    x = 1,487,959,160.85

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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.