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Finding the Third Proportional to 362,350,324,386.15 and 788,318,550,269.02

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Solution

The third proportional to 362,350,324,386.15 and 788,318,550,269.02 is: 1,715,042,308,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,350,324,386.15 : 788,318,550,269.02 = 788,318,550,269.02 : x
  2. Step 2: Convert to fraction form
    362,350,324,386.15/788,318,550,269.02 = 788,318,550,269.02/x
  3. Step 3: Cross multiply
    362,350,324,386.15x = 788,318,550,269.02 × 788,318,550,269.02
  4. Step 4: Simplify right side
    362,350,324,386.15x = 621,446,136,698,249,412,608,000
  5. Step 5: Solve for x
    x = 621,446,136,698,249,412,608,000/362,350,324,386.15
  6. Step 6: Final answer
    x = 1,715,042,308,161.39

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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.