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Finding the Third Proportional to 6,526,383.89 and 13,830,767.40

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Solution

The third proportional to 6,526,383.89 and 13,830,767.40 is: 29,310,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526,383.89 : 13,830,767.40 = 13,830,767.40 : x
  2. Step 2: Convert to fraction form
    6,526,383.89/13,830,767.40 = 13,830,767.40/x
  3. Step 3: Cross multiply
    6,526,383.89x = 13,830,767.40 × 13,830,767.40
  4. Step 4: Simplify right side
    6,526,383.89x = 191,290,126,937,741.38
  5. Step 5: Solve for x
    x = 191,290,126,937,741.38/6,526,383.89
  6. Step 6: Final answer
    x = 29,310,278.12

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.