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Finding the Third Proportional to 4,716,912 and 10,106,438

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Solution

The third proportional to 4,716,912 and 10,106,438 is: 21,654,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716,912 : 10,106,438 = 10,106,438 : x
  2. Step 2: Convert to fraction form
    4,716,912/10,106,438 = 10,106,438/x
  3. Step 3: Cross multiply
    4,716,912x = 10,106,438 × 10,106,438
  4. Step 4: Simplify right side
    4,716,912x = 102,140,089,047,844
  5. Step 5: Solve for x
    x = 102,140,089,047,844/4,716,912
  6. Step 6: Final answer
    x = 21,654,016.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.