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Finding the Third Proportional to 2,591,615,634 and 4,173,354,711

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Solution

The third proportional to 2,591,615,634 and 4,173,354,711 is: 6,720,475,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,615,634 : 4,173,354,711 = 4,173,354,711 : x
  2. Step 2: Convert to fraction form
    2,591,615,634/4,173,354,711 = 4,173,354,711/x
  3. Step 3: Cross multiply
    2,591,615,634x = 4,173,354,711 × 4,173,354,711
  4. Step 4: Simplify right side
    2,591,615,634x = 17,416,889,543,825,893,376
  5. Step 5: Solve for x
    x = 17,416,889,543,825,893,376/2,591,615,634
  6. Step 6: Final answer
    x = 6,720,475,565.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.