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Finding the Third Proportional to 773,886,874,442.20 and 1,683,645,184,991.20

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Solution

The third proportional to 773,886,874,442.20 and 1,683,645,184,991.20 is: 3,662,888,210,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,886,874,442.20 : 1,683,645,184,991.20 = 1,683,645,184,991.20 : x
  2. Step 2: Convert to fraction form
    773,886,874,442.20/1,683,645,184,991.20 = 1,683,645,184,991.20/x
  3. Step 3: Cross multiply
    773,886,874,442.20x = 1,683,645,184,991.20 × 1,683,645,184,991.20
  4. Step 4: Simplify right side
    773,886,874,442.20x = 2,834,661,108,944,052,061,995,008
  5. Step 5: Solve for x
    x = 2,834,661,108,944,052,061,995,008/773,886,874,442.20
  6. Step 6: Final answer
    x = 3,662,888,210,873.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.