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Finding the Third Proportional to 863,257,749 and 1,898,702,382

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Solution

The third proportional to 863,257,749 and 1,898,702,382 is: 4,176,123,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,257,749 : 1,898,702,382 = 1,898,702,382 : x
  2. Step 2: Convert to fraction form
    863,257,749/1,898,702,382 = 1,898,702,382/x
  3. Step 3: Cross multiply
    863,257,749x = 1,898,702,382 × 1,898,702,382
  4. Step 4: Simplify right side
    863,257,749x = 3,605,070,735,412,473,856
  5. Step 5: Solve for x
    x = 3,605,070,735,412,473,856/863,257,749
  6. Step 6: Final answer
    x = 4,176,123,225.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.