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Finding the Third Proportional to 282,360,762 and 611,610,210

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Solution

The third proportional to 282,360,762 and 611,610,210 is: 1,324,784,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,360,762 : 611,610,210 = 611,610,210 : x
  2. Step 2: Convert to fraction form
    282,360,762/611,610,210 = 611,610,210/x
  3. Step 3: Cross multiply
    282,360,762x = 611,610,210 × 611,610,210
  4. Step 4: Simplify right side
    282,360,762x = 374,067,048,976,244,096
  5. Step 5: Solve for x
    x = 374,067,048,976,244,096/282,360,762
  6. Step 6: Final answer
    x = 1,324,784,103.59

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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.