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Finding the Third Proportional to 270,213,008 and 547,945,052

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Solution

The third proportional to 270,213,008 and 547,945,052 is: 1,111,137,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,213,008 : 547,945,052 = 547,945,052 : x
  2. Step 2: Convert to fraction form
    270,213,008/547,945,052 = 547,945,052/x
  3. Step 3: Cross multiply
    270,213,008x = 547,945,052 × 547,945,052
  4. Step 4: Simplify right side
    270,213,008x = 300,243,780,011,282,688
  5. Step 5: Solve for x
    x = 300,243,780,011,282,688/270,213,008
  6. Step 6: Final answer
    x = 1,111,137,403.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.