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Finding the Third Proportional to 2,887,896,321 and 6,329,421,306

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Solution

The third proportional to 2,887,896,321 and 6,329,421,306 is: 13,872,234,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887,896,321 : 6,329,421,306 = 6,329,421,306 : x
  2. Step 2: Convert to fraction form
    2,887,896,321/6,329,421,306 = 6,329,421,306/x
  3. Step 3: Cross multiply
    2,887,896,321x = 6,329,421,306 × 6,329,421,306
  4. Step 4: Simplify right side
    2,887,896,321x = 40,061,574,068,846,747,648
  5. Step 5: Solve for x
    x = 40,061,574,068,846,747,648/2,887,896,321
  6. Step 6: Final answer
    x = 13,872,234,185.67

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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.