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Finding the Third Proportional to 33,739,438,771 and 70,271,470,964

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Solution

The third proportional to 33,739,438,771 and 70,271,470,964 is: 146,359,270,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739,438,771 : 70,271,470,964 = 70,271,470,964 : x
  2. Step 2: Convert to fraction form
    33,739,438,771/70,271,470,964 = 70,271,470,964/x
  3. Step 3: Cross multiply
    33,739,438,771x = 70,271,470,964 × 70,271,470,964
  4. Step 4: Simplify right side
    33,739,438,771x = 4,938,079,631,444,295,024,640
  5. Step 5: Solve for x
    x = 4,938,079,631,444,295,024,640/33,739,438,771
  6. Step 6: Final answer
    x = 146,359,270,080.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.