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Finding the Third Proportional to 625,273,511 and 919,723,174

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Solution

The third proportional to 625,273,511 and 919,723,174 is: 1,352,833,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,273,511 : 919,723,174 = 919,723,174 : x
  2. Step 2: Convert to fraction form
    625,273,511/919,723,174 = 919,723,174/x
  3. Step 3: Cross multiply
    625,273,511x = 919,723,174 × 919,723,174
  4. Step 4: Simplify right side
    625,273,511x = 845,890,716,792,634,240
  5. Step 5: Solve for x
    x = 845,890,716,792,634,240/625,273,511
  6. Step 6: Final answer
    x = 1,352,833,123.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.