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Finding the Third Proportional to 1,289,288,540 and 2,762,388,964

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Solution

The third proportional to 1,289,288,540 and 2,762,388,964 is: 5,918,607,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,288,540 : 2,762,388,964 = 2,762,388,964 : x
  2. Step 2: Convert to fraction form
    1,289,288,540/2,762,388,964 = 2,762,388,964/x
  3. Step 3: Cross multiply
    1,289,288,540x = 2,762,388,964 × 2,762,388,964
  4. Step 4: Simplify right side
    1,289,288,540x = 7,630,792,788,428,993,536
  5. Step 5: Solve for x
    x = 7,630,792,788,428,993,536/1,289,288,540
  6. Step 6: Final answer
    x = 5,918,607,473.57

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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.