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Finding the Third Proportional to 46,573,654,194 and 101,307,504,988

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Solution

The third proportional to 46,573,654,194 and 101,307,504,988 is: 220,365,155,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,654,194 : 101,307,504,988 = 101,307,504,988 : x
  2. Step 2: Convert to fraction form
    46,573,654,194/101,307,504,988 = 101,307,504,988/x
  3. Step 3: Cross multiply
    46,573,654,194x = 101,307,504,988 × 101,307,504,988
  4. Step 4: Simplify right side
    46,573,654,194x = 10,263,210,566,893,644,546,048
  5. Step 5: Solve for x
    x = 10,263,210,566,893,644,546,048/46,573,654,194
  6. Step 6: Final answer
    x = 220,365,155,891.42

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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.