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Finding the Third Proportional to 349,850,121 and 809,925,091.50

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Solution

The third proportional to 349,850,121 and 809,925,091.50 is: 1,875,027,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,850,121 : 809,925,091.50 = 809,925,091.50 : x
  2. Step 2: Convert to fraction form
    349,850,121/809,925,091.50 = 809,925,091.50/x
  3. Step 3: Cross multiply
    349,850,121x = 809,925,091.50 × 809,925,091.50
  4. Step 4: Simplify right side
    349,850,121x = 655,978,653,841,283,328
  5. Step 5: Solve for x
    x = 655,978,653,841,283,328/349,850,121
  6. Step 6: Final answer
    x = 1,875,027,660.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.