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Finding the Third Proportional to 6,382,608 and 13,828,572

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Solution

The third proportional to 6,382,608 and 13,828,572 is: 29,961,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382,608 : 13,828,572 = 13,828,572 : x
  2. Step 2: Convert to fraction form
    6,382,608/13,828,572 = 13,828,572/x
  3. Step 3: Cross multiply
    6,382,608x = 13,828,572 × 13,828,572
  4. Step 4: Simplify right side
    6,382,608x = 191,229,403,559,184
  5. Step 5: Solve for x
    x = 191,229,403,559,184/6,382,608
  6. Step 6: Final answer
    x = 29,961,013.36

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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.