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Finding the Third Proportional to 5,321,642 and 11,673,428

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Solution

The third proportional to 5,321,642 and 11,673,428 is: 25,606,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321,642 : 11,673,428 = 11,673,428 : x
  2. Step 2: Convert to fraction form
    5,321,642/11,673,428 = 11,673,428/x
  3. Step 3: Cross multiply
    5,321,642x = 11,673,428 × 11,673,428
  4. Step 4: Simplify right side
    5,321,642x = 136,268,921,271,184
  5. Step 5: Solve for x
    x = 136,268,921,271,184/5,321,642
  6. Step 6: Final answer
    x = 25,606,555.51

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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.