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Finding the Third Proportional to 2,744,539,390 and 4,240,768,397

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Solution

The third proportional to 2,744,539,390 and 4,240,768,397 is: 6,552,690,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744,539,390 : 4,240,768,397 = 4,240,768,397 : x
  2. Step 2: Convert to fraction form
    2,744,539,390/4,240,768,397 = 4,240,768,397/x
  3. Step 3: Cross multiply
    2,744,539,390x = 4,240,768,397 × 4,240,768,397
  4. Step 4: Simplify right side
    2,744,539,390x = 17,984,116,596,993,949,696
  5. Step 5: Solve for x
    x = 17,984,116,596,993,949,696/2,744,539,390
  6. Step 6: Final answer
    x = 6,552,690,284.76

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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.