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Finding the Third Proportional to 246,081,680 and 359,780,014

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Solution

The third proportional to 246,081,680 and 359,780,014 is: 526,010,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,081,680 : 359,780,014 = 359,780,014 : x
  2. Step 2: Convert to fraction form
    246,081,680/359,780,014 = 359,780,014/x
  3. Step 3: Cross multiply
    246,081,680x = 359,780,014 × 359,780,014
  4. Step 4: Simplify right side
    246,081,680x = 129,441,658,473,840,192
  5. Step 5: Solve for x
    x = 129,441,658,473,840,192/246,081,680
  6. Step 6: Final answer
    x = 526,010,950.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.