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Finding the Third Proportional to 1,186,037,788 and 1,735,397,668

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Solution

The third proportional to 1,186,037,788 and 1,735,397,668 is: 2,539,215,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,037,788 : 1,735,397,668 = 1,735,397,668 : x
  2. Step 2: Convert to fraction form
    1,186,037,788/1,735,397,668 = 1,735,397,668/x
  3. Step 3: Cross multiply
    1,186,037,788x = 1,735,397,668 × 1,735,397,668
  4. Step 4: Simplify right side
    1,186,037,788x = 3,011,605,066,099,838,464
  5. Step 5: Solve for x
    x = 3,011,605,066,099,838,464/1,186,037,788
  6. Step 6: Final answer
    x = 2,539,215,104.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.