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Finding the Third Proportional to 5,896,004 and 8,842,278

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Solution

The third proportional to 5,896,004 and 8,842,278 is: 13,260,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,004 : 8,842,278 = 8,842,278 : x
  2. Step 2: Convert to fraction form
    5,896,004/8,842,278 = 8,842,278/x
  3. Step 3: Cross multiply
    5,896,004x = 8,842,278 × 8,842,278
  4. Step 4: Simplify right side
    5,896,004x = 78,185,880,229,284
  5. Step 5: Solve for x
    x = 78,185,880,229,284/5,896,004
  6. Step 6: Final answer
    x = 13,260,825.51

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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.