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Finding the Third Proportional to 243,589,922,518 and 507,226,265,266

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Solution

The third proportional to 243,589,922,518 and 507,226,265,266 is: 1,056,195,106,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,589,922,518 : 507,226,265,266 = 507,226,265,266 : x
  2. Step 2: Convert to fraction form
    243,589,922,518/507,226,265,266 = 507,226,265,266/x
  3. Step 3: Cross multiply
    243,589,922,518x = 507,226,265,266 × 507,226,265,266
  4. Step 4: Simplify right side
    243,589,922,518x = 257,278,484,175,694,587,756,544
  5. Step 5: Solve for x
    x = 257,278,484,175,694,587,756,544/243,589,922,518
  6. Step 6: Final answer
    x = 1,056,195,106,579.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.