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Finding the Third Proportional to 9,646,000 and 14,922,408

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Solution

The third proportional to 9,646,000 and 14,922,408 is: 23,085,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,000 : 14,922,408 = 14,922,408 : x
  2. Step 2: Convert to fraction form
    9,646,000/14,922,408 = 14,922,408/x
  3. Step 3: Cross multiply
    9,646,000x = 14,922,408 × 14,922,408
  4. Step 4: Simplify right side
    9,646,000x = 222,678,260,518,464
  5. Step 5: Solve for x
    x = 222,678,260,518,464/9,646,000
  6. Step 6: Final answer
    x = 23,085,036.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.