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Finding the Third Proportional to 769,104,958,148 and 1,130,618,406,988

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Solution

The third proportional to 769,104,958,148 and 1,130,618,406,988 is: 1,662,059,213,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,104,958,148 : 1,130,618,406,988 = 1,130,618,406,988 : x
  2. Step 2: Convert to fraction form
    769,104,958,148/1,130,618,406,988 = 1,130,618,406,988/x
  3. Step 3: Cross multiply
    769,104,958,148x = 1,130,618,406,988 × 1,130,618,406,988
  4. Step 4: Simplify right side
    769,104,958,148x = 1,278,297,982,220,082,861,834,240
  5. Step 5: Solve for x
    x = 1,278,297,982,220,082,861,834,240/769,104,958,148
  6. Step 6: Final answer
    x = 1,662,059,213,996.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.