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Finding the Third Proportional to 1,993,900,240 and 4,363,076,000

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Solution

The third proportional to 1,993,900,240 and 4,363,076,000 is: 9,547,334,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,900,240 : 4,363,076,000 = 4,363,076,000 : x
  2. Step 2: Convert to fraction form
    1,993,900,240/4,363,076,000 = 4,363,076,000/x
  3. Step 3: Cross multiply
    1,993,900,240x = 4,363,076,000 × 4,363,076,000
  4. Step 4: Simplify right side
    1,993,900,240x = 19,036,432,181,775,998,976
  5. Step 5: Solve for x
    x = 19,036,432,181,775,998,976/1,993,900,240
  6. Step 6: Final answer
    x = 9,547,334,314.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.