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Finding the Third Proportional to 308,029,686,912 and 658,450,532,808

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Solution

The third proportional to 308,029,686,912 and 658,450,532,808 is: 1,407,517,270,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,029,686,912 : 658,450,532,808 = 658,450,532,808 : x
  2. Step 2: Convert to fraction form
    308,029,686,912/658,450,532,808 = 658,450,532,808/x
  3. Step 3: Cross multiply
    308,029,686,912x = 658,450,532,808 × 658,450,532,808
  4. Step 4: Simplify right side
    308,029,686,912x = 433,557,104,155,139,086,745,600
  5. Step 5: Solve for x
    x = 433,557,104,155,139,086,745,600/308,029,686,912
  6. Step 6: Final answer
    x = 1,407,517,270,499.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.