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Finding the Third Proportional to 399,235,127 and 868,770,608.50

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Solution

The third proportional to 399,235,127 and 868,770,608.50 is: 1,890,520,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,235,127 : 868,770,608.50 = 868,770,608.50 : x
  2. Step 2: Convert to fraction form
    399,235,127/868,770,608.50 = 868,770,608.50/x
  3. Step 3: Cross multiply
    399,235,127x = 868,770,608.50 × 868,770,608.50
  4. Step 4: Simplify right side
    399,235,127x = 754,762,370,193,460,224
  5. Step 5: Solve for x
    x = 754,762,370,193,460,224/399,235,127
  6. Step 6: Final answer
    x = 1,890,520,946.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.