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Finding the Third Proportional to 2,744,539,388 and 4,240,768,394

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Solution

The third proportional to 2,744,539,388 and 4,240,768,394 is: 6,552,690,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744,539,388 : 4,240,768,394 = 4,240,768,394 : x
  2. Step 2: Convert to fraction form
    2,744,539,388/4,240,768,394 = 4,240,768,394/x
  3. Step 3: Cross multiply
    2,744,539,388x = 4,240,768,394 × 4,240,768,394
  4. Step 4: Simplify right side
    2,744,539,388x = 17,984,116,571,549,339,648
  5. Step 5: Solve for x
    x = 17,984,116,571,549,339,648/2,744,539,388
  6. Step 6: Final answer
    x = 6,552,690,280.26

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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.