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Finding the Third Proportional to 25,197,970,203 and 53,990,086,746

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Solution

The third proportional to 25,197,970,203 and 53,990,086,746 is: 115,681,122,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197,970,203 : 53,990,086,746 = 53,990,086,746 : x
  2. Step 2: Convert to fraction form
    25,197,970,203/53,990,086,746 = 53,990,086,746/x
  3. Step 3: Cross multiply
    25,197,970,203x = 53,990,086,746 × 53,990,086,746
  4. Step 4: Simplify right side
    25,197,970,203x = 2,914,929,466,840,604,737,536
  5. Step 5: Solve for x
    x = 2,914,929,466,840,604,737,536/25,197,970,203
  6. Step 6: Final answer
    x = 115,681,122,064.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.