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Finding the Third Proportional to 10,968,216 and 23,766,948

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Solution

The third proportional to 10,968,216 and 23,766,948 is: 51,500,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968,216 : 23,766,948 = 23,766,948 : x
  2. Step 2: Convert to fraction form
    10,968,216/23,766,948 = 23,766,948/x
  3. Step 3: Cross multiply
    10,968,216x = 23,766,948 × 23,766,948
  4. Step 4: Simplify right side
    10,968,216x = 564,867,817,234,704
  5. Step 5: Solve for x
    x = 564,867,817,234,704/10,968,216
  6. Step 6: Final answer
    x = 51,500,427.89

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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.