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Finding the Third Proportional to 1,600,756,668 and 3,468,685,356

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Solution

The third proportional to 1,600,756,668 and 3,468,685,356 is: 7,516,306,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,756,668 : 3,468,685,356 = 3,468,685,356 : x
  2. Step 2: Convert to fraction form
    1,600,756,668/3,468,685,356 = 3,468,685,356/x
  3. Step 3: Cross multiply
    1,600,756,668x = 3,468,685,356 × 3,468,685,356
  4. Step 4: Simplify right side
    1,600,756,668x = 12,031,778,098,928,846,848
  5. Step 5: Solve for x
    x = 12,031,778,098,928,846,848/1,600,756,668
  6. Step 6: Final answer
    x = 7,516,306,718.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.