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Finding the Third Proportional to 362,350,324,402.50 and 788,318,550,301.50

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Solution

The third proportional to 362,350,324,402.50 and 788,318,550,301.50 is: 1,715,042,308,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,350,324,402.50 : 788,318,550,301.50 = 788,318,550,301.50 : x
  2. Step 2: Convert to fraction form
    362,350,324,402.50/788,318,550,301.50 = 788,318,550,301.50/x
  3. Step 3: Cross multiply
    362,350,324,402.50x = 788,318,550,301.50 × 788,318,550,301.50
  4. Step 4: Simplify right side
    362,350,324,402.50x = 621,446,136,749,458,576,113,664
  5. Step 5: Solve for x
    x = 621,446,136,749,458,576,113,664/362,350,324,402.50
  6. Step 6: Final answer
    x = 1,715,042,308,225.32

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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.