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Finding the Third Proportional to 1,780,335,556 and 2,617,172,245

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Solution

The third proportional to 1,780,335,556 and 2,617,172,245 is: 3,847,359,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,335,556 : 2,617,172,245 = 2,617,172,245 : x
  2. Step 2: Convert to fraction form
    1,780,335,556/2,617,172,245 = 2,617,172,245/x
  3. Step 3: Cross multiply
    1,780,335,556x = 2,617,172,245 × 2,617,172,245
  4. Step 4: Simplify right side
    1,780,335,556x = 6,849,590,559,998,340,096
  5. Step 5: Solve for x
    x = 6,849,590,559,998,340,096/1,780,335,556
  6. Step 6: Final answer
    x = 3,847,359,300.84

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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.