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Finding the Third Proportional to 10,614,094 and 23,213,948

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Solution

The third proportional to 10,614,094 and 23,213,948 is: 50,770,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614,094 : 23,213,948 = 23,213,948 : x
  2. Step 2: Convert to fraction form
    10,614,094/23,213,948 = 23,213,948/x
  3. Step 3: Cross multiply
    10,614,094x = 23,213,948 × 23,213,948
  4. Step 4: Simplify right side
    10,614,094x = 538,887,381,746,704
  5. Step 5: Solve for x
    x = 538,887,381,746,704/10,614,094
  6. Step 6: Final answer
    x = 50,770,926.07

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Why These Related Problems?

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