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Finding the Third Proportional to 434,922,180,012 and 882,245,627,095.50

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Solution

The third proportional to 434,922,180,012 and 882,245,627,095.50 is: 1,789,647,395,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,922,180,012 : 882,245,627,095.50 = 882,245,627,095.50 : x
  2. Step 2: Convert to fraction form
    434,922,180,012/882,245,627,095.50 = 882,245,627,095.50/x
  3. Step 3: Cross multiply
    434,922,180,012x = 882,245,627,095.50 × 882,245,627,095.50
  4. Step 4: Simplify right side
    434,922,180,012x = 778,357,346,529,132,102,549,504
  5. Step 5: Solve for x
    x = 778,357,346,529,132,102,549,504/434,922,180,012
  6. Step 6: Final answer
    x = 1,789,647,395,098.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.