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Finding the Third Proportional to 362,350,324,383.60 and 788,318,550,263.93

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Solution

The third proportional to 362,350,324,383.60 and 788,318,550,263.93 is: 1,715,042,308,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,350,324,383.60 : 788,318,550,263.93 = 788,318,550,263.93 : x
  2. Step 2: Convert to fraction form
    362,350,324,383.60/788,318,550,263.93 = 788,318,550,263.93/x
  3. Step 3: Cross multiply
    362,350,324,383.60x = 788,318,550,263.93 × 788,318,550,263.93
  4. Step 4: Simplify right side
    362,350,324,383.60x = 621,446,136,690,224,400,433,152
  5. Step 5: Solve for x
    x = 621,446,136,690,224,400,433,152/362,350,324,383.60
  6. Step 6: Final answer
    x = 1,715,042,308,151.31

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1.5x scale

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.