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Finding the Third Proportional to 46,573,654,192 and 101,307,504,984

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Solution

The third proportional to 46,573,654,192 and 101,307,504,984 is: 220,365,155,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,654,192 : 101,307,504,984 = 101,307,504,984 : x
  2. Step 2: Convert to fraction form
    46,573,654,192/101,307,504,984 = 101,307,504,984/x
  3. Step 3: Cross multiply
    46,573,654,192x = 101,307,504,984 × 101,307,504,984
  4. Step 4: Simplify right side
    46,573,654,192x = 10,263,210,566,083,185,475,584
  5. Step 5: Solve for x
    x = 10,263,210,566,083,185,475,584/46,573,654,192
  6. Step 6: Final answer
    x = 220,365,155,883.48

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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.