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Finding the Third Proportional to 10,751,361,770 and 14,948,909,151

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Solution

The third proportional to 10,751,361,770 and 14,948,909,151 is: 20,785,263,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751,361,770 : 14,948,909,151 = 14,948,909,151 : x
  2. Step 2: Convert to fraction form
    10,751,361,770/14,948,909,151 = 14,948,909,151/x
  3. Step 3: Cross multiply
    10,751,361,770x = 14,948,909,151 × 14,948,909,151
  4. Step 4: Simplify right side
    10,751,361,770x = 223,469,884,804,851,531,776
  5. Step 5: Solve for x
    x = 223,469,884,804,851,531,776/10,751,361,770
  6. Step 6: Final answer
    x = 20,785,263,261.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.