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Finding the Third Proportional to 5,518,829,847 and 8,276,217,818.25

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Solution

The third proportional to 5,518,829,847 and 8,276,217,818.25 is: 12,411,287,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518,829,847 : 8,276,217,818.25 = 8,276,217,818.25 : x
  2. Step 2: Convert to fraction form
    5,518,829,847/8,276,217,818.25 = 8,276,217,818.25/x
  3. Step 3: Cross multiply
    5,518,829,847x = 8,276,217,818.25 × 8,276,217,818.25
  4. Step 4: Simplify right side
    5,518,829,847x = 68,495,781,375,118,786,560
  5. Step 5: Solve for x
    x = 68,495,781,375,118,786,560/5,518,829,847
  6. Step 6: Final answer
    x = 12,411,287,043.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.