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Finding the Third Proportional to 1,024,415,407 and 2,204,202,247

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Solution

The third proportional to 1,024,415,407 and 2,204,202,247 is: 4,742,712,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,415,407 : 2,204,202,247 = 2,204,202,247 : x
  2. Step 2: Convert to fraction form
    1,024,415,407/2,204,202,247 = 2,204,202,247/x
  3. Step 3: Cross multiply
    1,024,415,407x = 2,204,202,247 × 2,204,202,247
  4. Step 4: Simplify right side
    1,024,415,407x = 4,858,507,545,679,849,472
  5. Step 5: Solve for x
    x = 4,858,507,545,679,849,472/1,024,415,407
  6. Step 6: Final answer
    x = 4,742,712,294.72

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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.