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Finding the Third Proportional to 389,050,487.44 and 833,702,989.50

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Solution

The third proportional to 389,050,487.44 and 833,702,989.50 is: 1,786,556,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,050,487.44 : 833,702,989.50 = 833,702,989.50 : x
  2. Step 2: Convert to fraction form
    389,050,487.44/833,702,989.50 = 833,702,989.50/x
  3. Step 3: Cross multiply
    389,050,487.44x = 833,702,989.50 × 833,702,989.50
  4. Step 4: Simplify right side
    389,050,487.44x = 695,060,674,701,237,120
  5. Step 5: Solve for x
    x = 695,060,674,701,237,120/389,050,487.44
  6. Step 6: Final answer
    x = 1,786,556,493.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.