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Finding the Third Proportional to 1,165,250,825 and 2,496,709,822

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Solution

The third proportional to 1,165,250,825 and 2,496,709,822 is: 5,349,543,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,250,825 : 2,496,709,822 = 2,496,709,822 : x
  2. Step 2: Convert to fraction form
    1,165,250,825/2,496,709,822 = 2,496,709,822/x
  3. Step 3: Cross multiply
    1,165,250,825x = 2,496,709,822 × 2,496,709,822
  4. Step 4: Simplify right side
    1,165,250,825x = 6,233,559,935,271,271,424
  5. Step 5: Solve for x
    x = 6,233,559,935,271,271,424/1,165,250,825
  6. Step 6: Final answer
    x = 5,349,543,464.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.