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Finding the Third Proportional to 3,847,377,302 and 8,403,106,288

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Solution

The third proportional to 3,847,377,302 and 8,403,106,288 is: 18,353,332,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847,377,302 : 8,403,106,288 = 8,403,106,288 : x
  2. Step 2: Convert to fraction form
    3,847,377,302/8,403,106,288 = 8,403,106,288/x
  3. Step 3: Cross multiply
    3,847,377,302x = 8,403,106,288 × 8,403,106,288
  4. Step 4: Simplify right side
    3,847,377,302x = 70,612,195,287,425,138,688
  5. Step 5: Solve for x
    x = 70,612,195,287,425,138,688/3,847,377,302
  6. Step 6: Final answer
    x = 18,353,332,606.79

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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.