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Finding the Third Proportional to 23,128,294,678 and 31,205,500,055

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Solution

The third proportional to 23,128,294,678 and 31,205,500,055 is: 42,103,546,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,128,294,678 : 31,205,500,055 = 31,205,500,055 : x
  2. Step 2: Convert to fraction form
    23,128,294,678/31,205,500,055 = 31,205,500,055/x
  3. Step 3: Cross multiply
    23,128,294,678x = 31,205,500,055 × 31,205,500,055
  4. Step 4: Simplify right side
    23,128,294,678x = 973,783,233,682,604,949,504
  5. Step 5: Solve for x
    x = 973,783,233,682,604,949,504/23,128,294,678
  6. Step 6: Final answer
    x = 42,103,546,640.16

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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.