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Finding the Third Proportional to 1,754,619,415.50 and 3,853,632,363

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Solution

The third proportional to 1,754,619,415.50 and 3,853,632,363 is: 8,463,648,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,619,415.50 : 3,853,632,363 = 3,853,632,363 : x
  2. Step 2: Convert to fraction form
    1,754,619,415.50/3,853,632,363 = 3,853,632,363/x
  3. Step 3: Cross multiply
    1,754,619,415.50x = 3,853,632,363 × 3,853,632,363
  4. Step 4: Simplify right side
    1,754,619,415.50x = 14,850,482,389,160,964,096
  5. Step 5: Solve for x
    x = 14,850,482,389,160,964,096/1,754,619,415.50
  6. Step 6: Final answer
    x = 8,463,648,730.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.