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Finding the Third Proportional to 9,646,004 and 14,922,414

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Solution

The third proportional to 9,646,004 and 14,922,414 is: 23,085,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,004 : 14,922,414 = 14,922,414 : x
  2. Step 2: Convert to fraction form
    9,646,004/14,922,414 = 14,922,414/x
  3. Step 3: Cross multiply
    9,646,004x = 14,922,414 × 14,922,414
  4. Step 4: Simplify right side
    9,646,004x = 222,678,439,587,396
  5. Step 5: Solve for x
    x = 222,678,439,587,396/9,646,004
  6. Step 6: Final answer
    x = 23,085,045.33

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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.