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Finding the Third Proportional to 6,436,985 and 13,403,090

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Solution

The third proportional to 6,436,985 and 13,403,090 is: 27,907,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,985 : 13,403,090 = 13,403,090 : x
  2. Step 2: Convert to fraction form
    6,436,985/13,403,090 = 13,403,090/x
  3. Step 3: Cross multiply
    6,436,985x = 13,403,090 × 13,403,090
  4. Step 4: Simplify right side
    6,436,985x = 179,642,821,548,100
  5. Step 5: Solve for x
    x = 179,642,821,548,100/6,436,985
  6. Step 6: Final answer
    x = 27,907,913.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.