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Finding the Third Proportional to 11,099,043 and 24,209,748

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Solution

The third proportional to 11,099,043 and 24,209,748 is: 52,807,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099,043 : 24,209,748 = 24,209,748 : x
  2. Step 2: Convert to fraction form
    11,099,043/24,209,748 = 24,209,748/x
  3. Step 3: Cross multiply
    11,099,043x = 24,209,748 × 24,209,748
  4. Step 4: Simplify right side
    11,099,043x = 586,111,898,223,504
  5. Step 5: Solve for x
    x = 586,111,898,223,504/11,099,043
  6. Step 6: Final answer
    x = 52,807,426.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.