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Finding the Third Proportional to 5,107,914 and 11,112,629

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Solution

The third proportional to 5,107,914 and 11,112,629 is: 24,176,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,914 : 11,112,629 = 11,112,629 : x
  2. Step 2: Convert to fraction form
    5,107,914/11,112,629 = 11,112,629/x
  3. Step 3: Cross multiply
    5,107,914x = 11,112,629 × 11,112,629
  4. Step 4: Simplify right side
    5,107,914x = 123,490,523,291,641
  5. Step 5: Solve for x
    x = 123,490,523,291,641/5,107,914
  6. Step 6: Final answer
    x = 24,176,312.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.