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Finding the Third Proportional to 822,099,945 and 1,187,792,455.50

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Solution

The third proportional to 822,099,945 and 1,187,792,455.50 is: 1,716,154,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,099,945 : 1,187,792,455.50 = 1,187,792,455.50 : x
  2. Step 2: Convert to fraction form
    822,099,945/1,187,792,455.50 = 1,187,792,455.50/x
  3. Step 3: Cross multiply
    822,099,945x = 1,187,792,455.50 × 1,187,792,455.50
  4. Step 4: Simplify right side
    822,099,945x = 1,410,850,917,342,719,488
  5. Step 5: Solve for x
    x = 1,410,850,917,342,719,488/822,099,945
  6. Step 6: Final answer
    x = 1,716,154,983.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.