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Finding the Third Proportional to 1,019,190,259,178 and 1,527,294,519,326

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Solution

The third proportional to 1,019,190,259,178 and 1,527,294,519,326 is: 2,288,707,655,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,190,259,178 : 1,527,294,519,326 = 1,527,294,519,326 : x
  2. Step 2: Convert to fraction form
    1,019,190,259,178/1,527,294,519,326 = 1,527,294,519,326/x
  3. Step 3: Cross multiply
    1,019,190,259,178x = 1,527,294,519,326 × 1,527,294,519,326
  4. Step 4: Simplify right side
    1,019,190,259,178x = 2,332,628,548,763,237,369,249,792
  5. Step 5: Solve for x
    x = 2,332,628,548,763,237,369,249,792/1,019,190,259,178
  6. Step 6: Final answer
    x = 2,288,707,655,668.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.