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Finding the Third Proportional to 14,975,675 and 21,400,629

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Solution

The third proportional to 14,975,675 and 21,400,629 is: 30,582,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975,675 : 21,400,629 = 21,400,629 : x
  2. Step 2: Convert to fraction form
    14,975,675/21,400,629 = 21,400,629/x
  3. Step 3: Cross multiply
    14,975,675x = 21,400,629 × 21,400,629
  4. Step 4: Simplify right side
    14,975,675x = 457,986,921,595,641
  5. Step 5: Solve for x
    x = 457,986,921,595,641/14,975,675
  6. Step 6: Final answer
    x = 30,582,055.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.