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Finding the Third Proportional to 599,546,920.50 and 1,387,864,685.25

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Solution

The third proportional to 599,546,920.50 and 1,387,864,685.25 is: 3,212,706,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,546,920.50 : 1,387,864,685.25 = 1,387,864,685.25 : x
  2. Step 2: Convert to fraction form
    599,546,920.50/1,387,864,685.25 = 1,387,864,685.25/x
  3. Step 3: Cross multiply
    599,546,920.50x = 1,387,864,685.25 × 1,387,864,685.25
  4. Step 4: Simplify right side
    599,546,920.50x = 1,926,168,384,564,081,664
  5. Step 5: Solve for x
    x = 1,926,168,384,564,081,664/599,546,920.50
  6. Step 6: Final answer
    x = 3,212,706,660.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.