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Finding the Third Proportional to 1,607,821,035 and 3,482,750,223.50

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Solution

The third proportional to 1,607,821,035 and 3,482,750,223.50 is: 7,544,091,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,821,035 : 3,482,750,223.50 = 3,482,750,223.50 : x
  2. Step 2: Convert to fraction form
    1,607,821,035/3,482,750,223.50 = 3,482,750,223.50/x
  3. Step 3: Cross multiply
    1,607,821,035x = 3,482,750,223.50 × 3,482,750,223.50
  4. Step 4: Simplify right side
    1,607,821,035x = 12,129,549,119,289,298,944
  5. Step 5: Solve for x
    x = 12,129,549,119,289,298,944/1,607,821,035
  6. Step 6: Final answer
    x = 7,544,091,571.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.