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Finding the Third Proportional to 384,610,430 and 827,539,420

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Solution

The third proportional to 384,610,430 and 827,539,420 is: 1,780,558,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,610,430 : 827,539,420 = 827,539,420 : x
  2. Step 2: Convert to fraction form
    384,610,430/827,539,420 = 827,539,420/x
  3. Step 3: Cross multiply
    384,610,430x = 827,539,420 × 827,539,420
  4. Step 4: Simplify right side
    384,610,430x = 684,821,491,653,936,384
  5. Step 5: Solve for x
    x = 684,821,491,653,936,384/384,610,430
  6. Step 6: Final answer
    x = 1,780,558,815.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.