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Finding the Third Proportional to 6,380,507 and 9,575,427

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Solution

The third proportional to 6,380,507 and 9,575,427 is: 14,370,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,507 : 9,575,427 = 9,575,427 : x
  2. Step 2: Convert to fraction form
    6,380,507/9,575,427 = 9,575,427/x
  3. Step 3: Cross multiply
    6,380,507x = 9,575,427 × 9,575,427
  4. Step 4: Simplify right side
    6,380,507x = 91,688,802,232,329
  5. Step 5: Solve for x
    x = 91,688,802,232,329/6,380,507
  6. Step 6: Final answer
    x = 14,370,143.66

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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.