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Finding the Third Proportional to 337,112,342,325 and 487,069,119,111

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Solution

The third proportional to 337,112,342,325 and 487,069,119,111 is: 703,730,765,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,112,342,325 : 487,069,119,111 = 487,069,119,111 : x
  2. Step 2: Convert to fraction form
    337,112,342,325/487,069,119,111 = 487,069,119,111/x
  3. Step 3: Cross multiply
    337,112,342,325x = 487,069,119,111 × 487,069,119,111
  4. Step 4: Simplify right side
    337,112,342,325x = 237,236,326,791,565,507,821,568
  5. Step 5: Solve for x
    x = 237,236,326,791,565,507,821,568/337,112,342,325
  6. Step 6: Final answer
    x = 703,730,765,700.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.