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Finding the Third Proportional to 1,705,925,990 and 2,620,966,739

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Solution

The third proportional to 1,705,925,990 and 2,620,966,739 is: 4,026,825,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,925,990 : 2,620,966,739 = 2,620,966,739 : x
  2. Step 2: Convert to fraction form
    1,705,925,990/2,620,966,739 = 2,620,966,739/x
  3. Step 3: Cross multiply
    1,705,925,990x = 2,620,966,739 × 2,620,966,739
  4. Step 4: Simplify right side
    1,705,925,990x = 6,869,466,646,944,293,888
  5. Step 5: Solve for x
    x = 6,869,466,646,944,293,888/1,705,925,990
  6. Step 6: Final answer
    x = 4,026,825,716.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.