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Finding the Third Proportional to 14,152,842 and 21,207,037

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Solution

The third proportional to 14,152,842 and 21,207,037 is: 31,777,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152,842 : 21,207,037 = 21,207,037 : x
  2. Step 2: Convert to fraction form
    14,152,842/21,207,037 = 21,207,037/x
  3. Step 3: Cross multiply
    14,152,842x = 21,207,037 × 21,207,037
  4. Step 4: Simplify right side
    14,152,842x = 449,738,418,319,369
  5. Step 5: Solve for x
    x = 449,738,418,319,369/14,152,842
  6. Step 6: Final answer
    x = 31,777,251.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.