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Finding the Third Proportional to 6,452,860 and 14,043,688

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Solution

The third proportional to 6,452,860 and 14,043,688 is: 30,563,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452,860 : 14,043,688 = 14,043,688 : x
  2. Step 2: Convert to fraction form
    6,452,860/14,043,688 = 14,043,688/x
  3. Step 3: Cross multiply
    6,452,860x = 14,043,688 × 14,043,688
  4. Step 4: Simplify right side
    6,452,860x = 197,225,172,641,344
  5. Step 5: Solve for x
    x = 197,225,172,641,344/6,452,860
  6. Step 6: Final answer
    x = 30,563,993.74

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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.