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Finding the Third Proportional to 11,365,118,658,874 and 23,332,735,366,898

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Solution

The third proportional to 11,365,118,658,874 and 23,332,735,366,898 is: 47,902,407,008,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365,118,658,874 : 23,332,735,366,898 = 23,332,735,366,898 : x
  2. Step 2: Convert to fraction form
    11,365,118,658,874/23,332,735,366,898 = 23,332,735,366,898/x
  3. Step 3: Cross multiply
    11,365,118,658,874x = 23,332,735,366,898 × 23,332,735,366,898
  4. Step 4: Simplify right side
    11,365,118,658,874x = 544,416,539,701,692,715,828,772,864
  5. Step 5: Solve for x
    x = 544,416,539,701,692,715,828,772,864/11,365,118,658,874
  6. Step 6: Final answer
    x = 47,902,407,008,888.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.