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Finding the Third Proportional to 9,277,416 and 14,044,455

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Solution

The third proportional to 9,277,416 and 14,044,455 is: 21,260,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,416 : 14,044,455 = 14,044,455 : x
  2. Step 2: Convert to fraction form
    9,277,416/14,044,455 = 14,044,455/x
  3. Step 3: Cross multiply
    9,277,416x = 14,044,455 × 14,044,455
  4. Step 4: Simplify right side
    9,277,416x = 197,246,716,247,025
  5. Step 5: Solve for x
    x = 197,246,716,247,025/9,277,416
  6. Step 6: Final answer
    x = 21,260,954.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.