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Finding the Third Proportional to 10,905,476 and 22,939,122

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Solution

The third proportional to 10,905,476 and 22,939,122 is: 48,251,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905,476 : 22,939,122 = 22,939,122 : x
  2. Step 2: Convert to fraction form
    10,905,476/22,939,122 = 22,939,122/x
  3. Step 3: Cross multiply
    10,905,476x = 22,939,122 × 22,939,122
  4. Step 4: Simplify right side
    10,905,476x = 526,203,318,130,884
  5. Step 5: Solve for x
    x = 526,203,318,130,884/10,905,476
  6. Step 6: Final answer
    x = 48,251,293.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.