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Finding the Third Proportional to 1,024,415,316 and 2,204,202,078

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Solution

The third proportional to 1,024,415,316 and 2,204,202,078 is: 4,742,711,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,415,316 : 2,204,202,078 = 2,204,202,078 : x
  2. Step 2: Convert to fraction form
    1,024,415,316/2,204,202,078 = 2,204,202,078/x
  3. Step 3: Cross multiply
    1,024,415,316x = 2,204,202,078 × 2,204,202,078
  4. Step 4: Simplify right side
    1,024,415,316x = 4,858,506,800,659,518,464
  5. Step 5: Solve for x
    x = 4,858,506,800,659,518,464/1,024,415,316
  6. Step 6: Final answer
    x = 4,742,711,988.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.