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Finding the Third Proportional to 14,975,677 and 21,400,632

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Solution

The third proportional to 14,975,677 and 21,400,632 is: 30,582,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975,677 : 21,400,632 = 21,400,632 : x
  2. Step 2: Convert to fraction form
    14,975,677/21,400,632 = 21,400,632/x
  3. Step 3: Cross multiply
    14,975,677x = 21,400,632 × 21,400,632
  4. Step 4: Simplify right side
    14,975,677x = 457,987,049,999,424
  5. Step 5: Solve for x
    x = 457,987,049,999,424/14,975,677
  6. Step 6: Final answer
    x = 30,582,059.83

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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.