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Finding the Third Proportional to 10,751,361,768 and 14,948,909,148

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Solution

The third proportional to 10,751,361,768 and 14,948,909,148 is: 20,785,263,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751,361,768 : 14,948,909,148 = 14,948,909,148 : x
  2. Step 2: Convert to fraction form
    10,751,361,768/14,948,909,148 = 14,948,909,148/x
  3. Step 3: Cross multiply
    10,751,361,768x = 14,948,909,148 × 14,948,909,148
  4. Step 4: Simplify right side
    10,751,361,768x = 223,469,884,715,158,077,440
  5. Step 5: Solve for x
    x = 223,469,884,715,158,077,440/10,751,361,768
  6. Step 6: Final answer
    x = 20,785,263,256.63

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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.