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Finding the Third Proportional to 353,879,021 and 775,782,489.50

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Solution

The third proportional to 353,879,021 and 775,782,489.50 is: 1,700,689,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,879,021 : 775,782,489.50 = 775,782,489.50 : x
  2. Step 2: Convert to fraction form
    353,879,021/775,782,489.50 = 775,782,489.50/x
  3. Step 3: Cross multiply
    353,879,021x = 775,782,489.50 × 775,782,489.50
  4. Step 4: Simplify right side
    353,879,021x = 601,838,471,014,817,664
  5. Step 5: Solve for x
    x = 601,838,471,014,817,664/353,879,021
  6. Step 6: Final answer
    x = 1,700,689,883.55

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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.