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Finding the Third Proportional to 295,632,817,852 and 606,937,992,620

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Solution

The third proportional to 295,632,817,852 and 606,937,992,620 is: 1,246,051,536,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,632,817,852 : 606,937,992,620 = 606,937,992,620 : x
  2. Step 2: Convert to fraction form
    295,632,817,852/606,937,992,620 = 606,937,992,620/x
  3. Step 3: Cross multiply
    295,632,817,852x = 606,937,992,620 × 606,937,992,620
  4. Step 4: Simplify right side
    295,632,817,852x = 368,373,726,885,595,184,103,424
  5. Step 5: Solve for x
    x = 368,373,726,885,595,184,103,424/295,632,817,852
  6. Step 6: Final answer
    x = 1,246,051,536,369.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.