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Finding the Third Proportional to 985,140,330 and 2,141,754,576

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Solution

The third proportional to 985,140,330 and 2,141,754,576 is: 4,656,303,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,140,330 : 2,141,754,576 = 2,141,754,576 : x
  2. Step 2: Convert to fraction form
    985,140,330/2,141,754,576 = 2,141,754,576/x
  3. Step 3: Cross multiply
    985,140,330x = 2,141,754,576 × 2,141,754,576
  4. Step 4: Simplify right side
    985,140,330x = 4,587,112,663,816,939,520
  5. Step 5: Solve for x
    x = 4,587,112,663,816,939,520/985,140,330
  6. Step 6: Final answer
    x = 4,656,303,801.73

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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.