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Finding the Third Proportional to 1,316,230,451 and 2,678,429,164

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Solution

The third proportional to 1,316,230,451 and 2,678,429,164 is: 5,450,400,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,230,451 : 2,678,429,164 = 2,678,429,164 : x
  2. Step 2: Convert to fraction form
    1,316,230,451/2,678,429,164 = 2,678,429,164/x
  3. Step 3: Cross multiply
    1,316,230,451x = 2,678,429,164 × 2,678,429,164
  4. Step 4: Simplify right side
    1,316,230,451x = 7,173,982,786,565,738,496
  5. Step 5: Solve for x
    x = 7,173,982,786,565,738,496/1,316,230,451
  6. Step 6: Final answer
    x = 5,450,400,255.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.