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Finding the Third Proportional to 1,294,931,907 and 2,004,277,932

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Solution

The third proportional to 1,294,931,907 and 2,004,277,932 is: 3,102,194,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,931,907 : 2,004,277,932 = 2,004,277,932 : x
  2. Step 2: Convert to fraction form
    1,294,931,907/2,004,277,932 = 2,004,277,932/x
  3. Step 3: Cross multiply
    1,294,931,907x = 2,004,277,932 × 2,004,277,932
  4. Step 4: Simplify right side
    1,294,931,907x = 4,017,130,028,702,196,736
  5. Step 5: Solve for x
    x = 4,017,130,028,702,196,736/1,294,931,907
  6. Step 6: Final answer
    x = 3,102,194,028.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.