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Finding the Third Proportional to 149,024,585,476.50 and 325,021,052,563.50

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Solution

The third proportional to 149,024,585,476.50 and 325,021,052,563.50 is: 708,867,495,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,024,585,476.50 : 325,021,052,563.50 = 325,021,052,563.50 : x
  2. Step 2: Convert to fraction form
    149,024,585,476.50/325,021,052,563.50 = 325,021,052,563.50/x
  3. Step 3: Cross multiply
    149,024,585,476.50x = 325,021,052,563.50 × 325,021,052,563.50
  4. Step 4: Simplify right side
    149,024,585,476.50x = 105,638,684,609,485,433,995,264
  5. Step 5: Solve for x
    x = 105,638,684,609,485,433,995,264/149,024,585,476.50
  6. Step 6: Final answer
    x = 708,867,495,062.71

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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.