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Finding the Third Proportional to 455,795,518.50 and 1,055,100,931.75

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Solution

The third proportional to 455,795,518.50 and 1,055,100,931.75 is: 2,442,406,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,795,518.50 : 1,055,100,931.75 = 1,055,100,931.75 : x
  2. Step 2: Convert to fraction form
    455,795,518.50/1,055,100,931.75 = 1,055,100,931.75/x
  3. Step 3: Cross multiply
    455,795,518.50x = 1,055,100,931.75 × 1,055,100,931.75
  4. Step 4: Simplify right side
    455,795,518.50x = 1,113,237,976,179,718,144
  5. Step 5: Solve for x
    x = 1,113,237,976,179,718,144/455,795,518.50
  6. Step 6: Final answer
    x = 2,442,406,585.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.