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Finding the Third Proportional to 433,127,022 and 901,945,848

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Solution

The third proportional to 433,127,022 and 901,945,848 is: 1,878,216,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,127,022 : 901,945,848 = 901,945,848 : x
  2. Step 2: Convert to fraction form
    433,127,022/901,945,848 = 901,945,848/x
  3. Step 3: Cross multiply
    433,127,022x = 901,945,848 × 901,945,848
  4. Step 4: Simplify right side
    433,127,022x = 813,506,312,724,439,040
  5. Step 5: Solve for x
    x = 813,506,312,724,439,040/433,127,022
  6. Step 6: Final answer
    x = 1,878,216,484.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.