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Finding the Third Proportional to 23,128,293,530 and 31,205,498,369

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Solution

The third proportional to 23,128,293,530 and 31,205,498,369 is: 42,103,544,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,128,293,530 : 31,205,498,369 = 31,205,498,369 : x
  2. Step 2: Convert to fraction form
    23,128,293,530/31,205,498,369 = 31,205,498,369/x
  3. Step 3: Cross multiply
    23,128,293,530x = 31,205,498,369 × 31,205,498,369
  4. Step 4: Simplify right side
    23,128,293,530x = 973,783,128,457,661,644,800
  5. Step 5: Solve for x
    x = 973,783,128,457,661,644,800/23,128,293,530
  6. Step 6: Final answer
    x = 42,103,544,180.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.