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Finding the Third Proportional to 6,711,570 and 14,542,884

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Solution

The third proportional to 6,711,570 and 14,542,884 is: 31,512,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711,570 : 14,542,884 = 14,542,884 : x
  2. Step 2: Convert to fraction form
    6,711,570/14,542,884 = 14,542,884/x
  3. Step 3: Cross multiply
    6,711,570x = 14,542,884 × 14,542,884
  4. Step 4: Simplify right side
    6,711,570x = 211,495,475,037,456
  5. Step 5: Solve for x
    x = 211,495,475,037,456/6,711,570
  6. Step 6: Final answer
    x = 31,512,071.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.