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Finding the Third Proportional to 5,013,936 and 10,986,196.50

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Solution

The third proportional to 5,013,936 and 10,986,196.50 is: 24,072,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013,936 : 10,986,196.50 = 10,986,196.50 : x
  2. Step 2: Convert to fraction form
    5,013,936/10,986,196.50 = 10,986,196.50/x
  3. Step 3: Cross multiply
    5,013,936x = 10,986,196.50 × 10,986,196.50
  4. Step 4: Simplify right side
    5,013,936x = 120,696,513,536,612.25
  5. Step 5: Solve for x
    x = 120,696,513,536,612.25/5,013,936
  6. Step 6: Final answer
    x = 24,072,208.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.