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Finding the Third Proportional to 199,811,122,706 and 431,468,673,047

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Solution

The third proportional to 199,811,122,706 and 431,468,673,047 is: 931,705,969,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,811,122,706 : 431,468,673,047 = 431,468,673,047 : x
  2. Step 2: Convert to fraction form
    199,811,122,706/431,468,673,047 = 431,468,673,047/x
  3. Step 3: Cross multiply
    199,811,122,706x = 431,468,673,047 × 431,468,673,047
  4. Step 4: Simplify right side
    199,811,122,706x = 186,165,215,820,938,968,301,568
  5. Step 5: Solve for x
    x = 186,165,215,820,938,968,301,568/199,811,122,706
  6. Step 6: Final answer
    x = 931,705,969,616.42

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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.