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Finding the Third Proportional to 2,267,539,596 and 3,242,585,682

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Solution

The third proportional to 2,267,539,596 and 3,242,585,682 is: 4,636,903,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,539,596 : 3,242,585,682 = 3,242,585,682 : x
  2. Step 2: Convert to fraction form
    2,267,539,596/3,242,585,682 = 3,242,585,682/x
  3. Step 3: Cross multiply
    2,267,539,596x = 3,242,585,682 × 3,242,585,682
  4. Step 4: Simplify right side
    2,267,539,596x = 10,514,361,905,111,404,544
  5. Step 5: Solve for x
    x = 10,514,361,905,111,404,544/2,267,539,596
  6. Step 6: Final answer
    x = 4,636,903,330.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.