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Finding the Third Proportional to 5,449,460.63 and 12,845,899.69

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Solution

The third proportional to 5,449,460.63 and 12,845,899.69 is: 30,281,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449,460.63 : 12,845,899.69 = 12,845,899.69 : x
  2. Step 2: Convert to fraction form
    5,449,460.63/12,845,899.69 = 12,845,899.69/x
  3. Step 3: Cross multiply
    5,449,460.63x = 12,845,899.69 × 12,845,899.69
  4. Step 4: Simplify right side
    5,449,460.63x = 165,017,138,781,312.59
  5. Step 5: Solve for x
    x = 165,017,138,781,312.59/5,449,460.63
  6. Step 6: Final answer
    x = 30,281,370.97

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.