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Finding the Third Proportional to 1,585,347,960 and 3,315,247,872

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Solution

The third proportional to 1,585,347,960 and 3,315,247,872 is: 6,932,779,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,347,960 : 3,315,247,872 = 3,315,247,872 : x
  2. Step 2: Convert to fraction form
    1,585,347,960/3,315,247,872 = 3,315,247,872/x
  3. Step 3: Cross multiply
    1,585,347,960x = 3,315,247,872 × 3,315,247,872
  4. Step 4: Simplify right side
    1,585,347,960x = 10,990,868,452,800,528,384
  5. Step 5: Solve for x
    x = 10,990,868,452,800,528,384/1,585,347,960
  6. Step 6: Final answer
    x = 6,932,779,888.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.