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Finding the Third Proportional to 354,861,384 and 776,618,400

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Solution

The third proportional to 354,861,384 and 776,618,400 is: 1,699,638,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,861,384 : 776,618,400 = 776,618,400 : x
  2. Step 2: Convert to fraction form
    354,861,384/776,618,400 = 776,618,400/x
  3. Step 3: Cross multiply
    354,861,384x = 776,618,400 × 776,618,400
  4. Step 4: Simplify right side
    354,861,384x = 603,136,139,218,560,000
  5. Step 5: Solve for x
    x = 603,136,139,218,560,000/354,861,384
  6. Step 6: Final answer
    x = 1,699,638,693.90

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