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Finding the Third Proportional to 46,573,654,202 and 101,307,505,004

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Solution

The third proportional to 46,573,654,202 and 101,307,505,004 is: 220,365,155,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,654,202 : 101,307,505,004 = 101,307,505,004 : x
  2. Step 2: Convert to fraction form
    46,573,654,202/101,307,505,004 = 101,307,505,004/x
  3. Step 3: Cross multiply
    46,573,654,202x = 101,307,505,004 × 101,307,505,004
  4. Step 4: Simplify right side
    46,573,654,202x = 10,263,210,570,135,485,022,208
  5. Step 5: Solve for x
    x = 10,263,210,570,135,485,022,208/46,573,654,202
  6. Step 6: Final answer
    x = 220,365,155,923.17

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