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Finding the Third Proportional to 380,275,771.50 and 833,181,808.50

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Solution

The third proportional to 380,275,771.50 and 833,181,808.50 is: 1,825,496,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,275,771.50 : 833,181,808.50 = 833,181,808.50 : x
  2. Step 2: Convert to fraction form
    380,275,771.50/833,181,808.50 = 833,181,808.50/x
  3. Step 3: Cross multiply
    380,275,771.50x = 833,181,808.50 × 833,181,808.50
  4. Step 4: Simplify right side
    380,275,771.50x = 694,191,926,015,330,688
  5. Step 5: Solve for x
    x = 694,191,926,015,330,688/380,275,771.50
  6. Step 6: Final answer
    x = 1,825,496,069.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.