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Finding the Third Proportional to 1,099,646,084,697 and 2,367,352,322,169

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Solution

The third proportional to 1,099,646,084,697 and 2,367,352,322,169 is: 5,096,509,772,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,646,084,697 : 2,367,352,322,169 = 2,367,352,322,169 : x
  2. Step 2: Convert to fraction form
    1,099,646,084,697/2,367,352,322,169 = 2,367,352,322,169/x
  3. Step 3: Cross multiply
    1,099,646,084,697x = 2,367,352,322,169 × 2,367,352,322,169
  4. Step 4: Simplify right side
    1,099,646,084,697x = 5,604,357,017,278,956,949,209,088
  5. Step 5: Solve for x
    x = 5,604,357,017,278,956,949,209,088/1,099,646,084,697
  6. Step 6: Final answer
    x = 5,096,509,772,799.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.