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Finding the Third Proportional to 818,280,742 and 1,794,984,844

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Solution

The third proportional to 818,280,742 and 1,794,984,844 is: 3,937,487,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,280,742 : 1,794,984,844 = 1,794,984,844 : x
  2. Step 2: Convert to fraction form
    818,280,742/1,794,984,844 = 1,794,984,844/x
  3. Step 3: Cross multiply
    818,280,742x = 1,794,984,844 × 1,794,984,844
  4. Step 4: Simplify right side
    818,280,742x = 3,221,970,590,189,704,192
  5. Step 5: Solve for x
    x = 3,221,970,590,189,704,192/818,280,742
  6. Step 6: Final answer
    x = 3,937,487,985.25

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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.