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Finding the Third Proportional to 1,708,342,164 and 2,662,392,132

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Solution

The third proportional to 1,708,342,164 and 2,662,392,132 is: 4,149,245,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,342,164 : 2,662,392,132 = 2,662,392,132 : x
  2. Step 2: Convert to fraction form
    1,708,342,164/2,662,392,132 = 2,662,392,132/x
  3. Step 3: Cross multiply
    1,708,342,164x = 2,662,392,132 × 2,662,392,132
  4. Step 4: Simplify right side
    1,708,342,164x = 7,088,331,864,535,505,920
  5. Step 5: Solve for x
    x = 7,088,331,864,535,505,920/1,708,342,164
  6. Step 6: Final answer
    x = 4,149,245,984.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.