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Finding the Third Proportional to 363,177,633 and 509,610,113

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Solution

The third proportional to 363,177,633 and 509,610,113 is: 715,083,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,177,633 : 509,610,113 = 509,610,113 : x
  2. Step 2: Convert to fraction form
    363,177,633/509,610,113 = 509,610,113/x
  3. Step 3: Cross multiply
    363,177,633x = 509,610,113 × 509,610,113
  4. Step 4: Simplify right side
    363,177,633x = 259,702,467,271,872,768
  5. Step 5: Solve for x
    x = 259,702,467,271,872,768/363,177,633
  6. Step 6: Final answer
    x = 715,083,869.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.