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Finding the Third Proportional to 312,402,186 and 650,661,710

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Solution

The third proportional to 312,402,186 and 650,661,710 is: 1,355,178,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,402,186 : 650,661,710 = 650,661,710 : x
  2. Step 2: Convert to fraction form
    312,402,186/650,661,710 = 650,661,710/x
  3. Step 3: Cross multiply
    312,402,186x = 650,661,710 × 650,661,710
  4. Step 4: Simplify right side
    312,402,186x = 423,360,660,860,124,096
  5. Step 5: Solve for x
    x = 423,360,660,860,124,096/312,402,186
  6. Step 6: Final answer
    x = 1,355,178,292.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.