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Finding the Third Proportional to 507,065,446 and 1,111,338,668

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Solution

The third proportional to 507,065,446 and 1,111,338,668 is: 2,435,728,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,065,446 : 1,111,338,668 = 1,111,338,668 : x
  2. Step 2: Convert to fraction form
    507,065,446/1,111,338,668 = 1,111,338,668/x
  3. Step 3: Cross multiply
    507,065,446x = 1,111,338,668 × 1,111,338,668
  4. Step 4: Simplify right side
    507,065,446x = 1,235,073,634,992,014,336
  5. Step 5: Solve for x
    x = 1,235,073,634,992,014,336/507,065,446
  6. Step 6: Final answer
    x = 2,435,728,257.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.