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Finding the Third Proportional to 1,570,440,670 and 2,325,338,965

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Solution

The third proportional to 1,570,440,670 and 2,325,338,965 is: 3,443,110,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,440,670 : 2,325,338,965 = 2,325,338,965 : x
  2. Step 2: Convert to fraction form
    1,570,440,670/2,325,338,965 = 2,325,338,965/x
  3. Step 3: Cross multiply
    1,570,440,670x = 2,325,338,965 × 2,325,338,965
  4. Step 4: Simplify right side
    1,570,440,670x = 5,407,201,302,147,271,680
  5. Step 5: Solve for x
    x = 5,407,201,302,147,271,680/1,570,440,670
  6. Step 6: Final answer
    x = 3,443,110,844.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.