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Finding the Third Proportional to 11,456,650.13 and 24,706,913.63

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Solution

The third proportional to 11,456,650.13 and 24,706,913.63 is: 53,281,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456,650.13 : 24,706,913.63 = 24,706,913.63 : x
  2. Step 2: Convert to fraction form
    11,456,650.13/24,706,913.63 = 24,706,913.63/x
  3. Step 3: Cross multiply
    11,456,650.13x = 24,706,913.63 × 24,706,913.63
  4. Step 4: Simplify right side
    11,456,650.13x = 610,431,580,873,210.62
  5. Step 5: Solve for x
    x = 610,431,580,873,210.62/11,456,650.13
  6. Step 6: Final answer
    x = 53,281,855.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.