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Finding the Third Proportional to 2,744,539,384 and 4,240,768,388

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Solution

The third proportional to 2,744,539,384 and 4,240,768,388 is: 6,552,690,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744,539,384 : 4,240,768,388 = 4,240,768,388 : x
  2. Step 2: Convert to fraction form
    2,744,539,384/4,240,768,388 = 4,240,768,388/x
  3. Step 3: Cross multiply
    2,744,539,384x = 4,240,768,388 × 4,240,768,388
  4. Step 4: Simplify right side
    2,744,539,384x = 17,984,116,520,660,119,552
  5. Step 5: Solve for x
    x = 17,984,116,520,660,119,552/2,744,539,384
  6. Step 6: Final answer
    x = 6,552,690,271.27

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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.