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Finding the Third Proportional to 2,488,127,616 and 5,345,505,645

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Solution

The third proportional to 2,488,127,616 and 5,345,505,645 is: 11,484,310,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488,127,616 : 5,345,505,645 = 5,345,505,645 : x
  2. Step 2: Convert to fraction form
    2,488,127,616/5,345,505,645 = 5,345,505,645/x
  3. Step 3: Cross multiply
    2,488,127,616x = 5,345,505,645 × 5,345,505,645
  4. Step 4: Simplify right side
    2,488,127,616x = 28,574,430,600,726,867,968
  5. Step 5: Solve for x
    x = 28,574,430,600,726,867,968/2,488,127,616
  6. Step 6: Final answer
    x = 11,484,310,698.93

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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.