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Finding the Third Proportional to 6,286,511 and 13,807,507

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Solution

The third proportional to 6,286,511 and 13,807,507 is: 30,326,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,511 : 13,807,507 = 13,807,507 : x
  2. Step 2: Convert to fraction form
    6,286,511/13,807,507 = 13,807,507/x
  3. Step 3: Cross multiply
    6,286,511x = 13,807,507 × 13,807,507
  4. Step 4: Simplify right side
    6,286,511x = 190,647,249,555,049
  5. Step 5: Solve for x
    x = 190,647,249,555,049/6,286,511
  6. Step 6: Final answer
    x = 30,326,400.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.