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Finding the Third Proportional to 186,294,616,768 and 405,230,019,936

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Solution

The third proportional to 186,294,616,768 and 405,230,019,936 is: 881,460,623,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294,616,768 : 405,230,019,936 = 405,230,019,936 : x
  2. Step 2: Convert to fraction form
    186,294,616,768/405,230,019,936 = 405,230,019,936/x
  3. Step 3: Cross multiply
    186,294,616,768x = 405,230,019,936 × 405,230,019,936
  4. Step 4: Simplify right side
    186,294,616,768x = 164,211,369,057,330,967,609,344
  5. Step 5: Solve for x
    x = 164,211,369,057,330,967,609,344/186,294,616,768
  6. Step 6: Final answer
    x = 881,460,623,533.90

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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.