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Finding the Third Proportional to 9,946,798 and 20,949,944

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Solution

The third proportional to 9,946,798 and 20,949,944 is: 44,124,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946,798 : 20,949,944 = 20,949,944 : x
  2. Step 2: Convert to fraction form
    9,946,798/20,949,944 = 20,949,944/x
  3. Step 3: Cross multiply
    9,946,798x = 20,949,944 × 20,949,944
  4. Step 4: Simplify right side
    9,946,798x = 438,900,153,603,136
  5. Step 5: Solve for x
    x = 438,900,153,603,136/9,946,798
  6. Step 6: Final answer
    x = 44,124,767.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.