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Finding the Third Proportional to 6,064,269 and 13,267,971

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Solution

The third proportional to 6,064,269 and 13,267,971 is: 29,028,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064,269 : 13,267,971 = 13,267,971 : x
  2. Step 2: Convert to fraction form
    6,064,269/13,267,971 = 13,267,971/x
  3. Step 3: Cross multiply
    6,064,269x = 13,267,971 × 13,267,971
  4. Step 4: Simplify right side
    6,064,269x = 176,039,054,456,841
  5. Step 5: Solve for x
    x = 176,039,054,456,841/6,064,269
  6. Step 6: Final answer
    x = 29,028,899.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.