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Finding the Third Proportional to 796,821,959.25 and 1,705,578,464.63

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Solution

The third proportional to 796,821,959.25 and 1,705,578,464.63 is: 3,650,750,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,821,959.25 : 1,705,578,464.63 = 1,705,578,464.63 : x
  2. Step 2: Convert to fraction form
    796,821,959.25/1,705,578,464.63 = 1,705,578,464.63/x
  3. Step 3: Cross multiply
    796,821,959.25x = 1,705,578,464.63 × 1,705,578,464.63
  4. Step 4: Simplify right side
    796,821,959.25x = 2,908,997,898,992,572,416
  5. Step 5: Solve for x
    x = 2,908,997,898,992,572,416/796,821,959.25
  6. Step 6: Final answer
    x = 3,650,750,164.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.