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Finding the Third Proportional to 186,554,299,178 and 402,834,789,652

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Solution

The third proportional to 186,554,299,178 and 402,834,789,652 is: 869,858,633,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,554,299,178 : 402,834,789,652 = 402,834,789,652 : x
  2. Step 2: Convert to fraction form
    186,554,299,178/402,834,789,652 = 402,834,789,652/x
  3. Step 3: Cross multiply
    186,554,299,178x = 402,834,789,652 × 402,834,789,652
  4. Step 4: Simplify right side
    186,554,299,178x = 162,275,867,753,971,074,465,792
  5. Step 5: Solve for x
    x = 162,275,867,753,971,074,465,792/186,554,299,178
  6. Step 6: Final answer
    x = 869,858,633,486.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.