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Finding the Third Proportional to 6,143,597 and 13,650,778

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Solution

The third proportional to 6,143,597 and 13,650,778 is: 30,331,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143,597 : 13,650,778 = 13,650,778 : x
  2. Step 2: Convert to fraction form
    6,143,597/13,650,778 = 13,650,778/x
  3. Step 3: Cross multiply
    6,143,597x = 13,650,778 × 13,650,778
  4. Step 4: Simplify right side
    6,143,597x = 186,343,740,005,284
  5. Step 5: Solve for x
    x = 186,343,740,005,284/6,143,597
  6. Step 6: Final answer
    x = 30,331,374.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.