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Finding the Third Proportional to 3,847,377,270 and 8,403,106,236

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Solution

The third proportional to 3,847,377,270 and 8,403,106,236 is: 18,353,332,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847,377,270 : 8,403,106,236 = 8,403,106,236 : x
  2. Step 2: Convert to fraction form
    3,847,377,270/8,403,106,236 = 8,403,106,236/x
  3. Step 3: Cross multiply
    3,847,377,270x = 8,403,106,236 × 8,403,106,236
  4. Step 4: Simplify right side
    3,847,377,270x = 70,612,194,413,502,087,168
  5. Step 5: Solve for x
    x = 70,612,194,413,502,087,168/3,847,377,270
  6. Step 6: Final answer
    x = 18,353,332,532.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.