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Finding the Third Proportional to 8,815,886,256 and 19,181,387,400

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Solution

The third proportional to 8,815,886,256 and 19,181,387,400 is: 41,734,388,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815,886,256 : 19,181,387,400 = 19,181,387,400 : x
  2. Step 2: Convert to fraction form
    8,815,886,256/19,181,387,400 = 19,181,387,400/x
  3. Step 3: Cross multiply
    8,815,886,256x = 19,181,387,400 × 19,181,387,400
  4. Step 4: Simplify right side
    8,815,886,256x = 367,925,622,588,878,749,696
  5. Step 5: Solve for x
    x = 367,925,622,588,878,749,696/8,815,886,256
  6. Step 6: Final answer
    x = 41,734,388,569.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.