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Finding the Third Proportional to 6,129,747.81 and 13,006,675.63

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Solution

The third proportional to 6,129,747.81 and 13,006,675.63 is: 27,598,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129,747.81 : 13,006,675.63 = 13,006,675.63 : x
  2. Step 2: Convert to fraction form
    6,129,747.81/13,006,675.63 = 13,006,675.63/x
  3. Step 3: Cross multiply
    6,129,747.81x = 13,006,675.63 × 13,006,675.63
  4. Step 4: Simplify right side
    6,129,747.81x = 169,173,610,813,969.12
  5. Step 5: Solve for x
    x = 169,173,610,813,969.12/6,129,747.81
  6. Step 6: Final answer
    x = 27,598,788.07

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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.