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Finding the Third Proportional to 14,975,678 and 21,400,633

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Solution

The third proportional to 14,975,678 and 21,400,633 is: 30,582,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975,678 : 21,400,633 = 21,400,633 : x
  2. Step 2: Convert to fraction form
    14,975,678/21,400,633 = 21,400,633/x
  3. Step 3: Cross multiply
    14,975,678x = 21,400,633 × 21,400,633
  4. Step 4: Simplify right side
    14,975,678x = 457,987,092,800,689
  5. Step 5: Solve for x
    x = 457,987,092,800,689/14,975,678
  6. Step 6: Final answer
    x = 30,582,060.65

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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.