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Finding the Third Proportional to 46,551,081,424 and 102,114,692,000

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Solution

The third proportional to 46,551,081,424 and 102,114,692,000 is: 223,999,314,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,551,081,424 : 102,114,692,000 = 102,114,692,000 : x
  2. Step 2: Convert to fraction form
    46,551,081,424/102,114,692,000 = 102,114,692,000/x
  3. Step 3: Cross multiply
    46,551,081,424x = 102,114,692,000 × 102,114,692,000
  4. Step 4: Simplify right side
    46,551,081,424x = 10,427,410,322,254,863,532,032
  5. Step 5: Solve for x
    x = 10,427,410,322,254,863,532,032/46,551,081,424
  6. Step 6: Final answer
    x = 223,999,314,372.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.