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Finding the Third Proportional to 10,968,199 and 23,766,915

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Solution

The third proportional to 10,968,199 and 23,766,915 is: 51,500,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968,199 : 23,766,915 = 23,766,915 : x
  2. Step 2: Convert to fraction form
    10,968,199/23,766,915 = 23,766,915/x
  3. Step 3: Cross multiply
    10,968,199x = 23,766,915 × 23,766,915
  4. Step 4: Simplify right side
    10,968,199x = 564,866,248,617,225
  5. Step 5: Solve for x
    x = 564,866,248,617,225/10,968,199
  6. Step 6: Final answer
    x = 51,500,364.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.