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Finding the Third Proportional to 812,113,929 and 1,203,422,845.50

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Solution

The third proportional to 812,113,929 and 1,203,422,845.50 is: 1,783,280,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,113,929 : 1,203,422,845.50 = 1,203,422,845.50 : x
  2. Step 2: Convert to fraction form
    812,113,929/1,203,422,845.50 = 1,203,422,845.50/x
  3. Step 3: Cross multiply
    812,113,929x = 1,203,422,845.50 × 1,203,422,845.50
  4. Step 4: Simplify right side
    812,113,929x = 1,448,226,545,071,316,992
  5. Step 5: Solve for x
    x = 1,448,226,545,071,316,992/812,113,929
  6. Step 6: Final answer
    x = 1,783,280,021.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.