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Finding the Third Proportional to 285,724,734.75 and 620,158,189.50

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Solution

The third proportional to 285,724,734.75 and 620,158,189.50 is: 1,346,037,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,724,734.75 : 620,158,189.50 = 620,158,189.50 : x
  2. Step 2: Convert to fraction form
    285,724,734.75/620,158,189.50 = 620,158,189.50/x
  3. Step 3: Cross multiply
    285,724,734.75x = 620,158,189.50 × 620,158,189.50
  4. Step 4: Simplify right side
    285,724,734.75x = 384,596,180,003,917,888
  5. Step 5: Solve for x
    x = 384,596,180,003,917,888/285,724,734.75
  6. Step 6: Final answer
    x = 1,346,037,403.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.