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Finding the Third Proportional to 1,435,981,024 and 3,144,367,034

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Solution

The third proportional to 1,435,981,024 and 3,144,367,034 is: 6,885,219,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,981,024 : 3,144,367,034 = 3,144,367,034 : x
  2. Step 2: Convert to fraction form
    1,435,981,024/3,144,367,034 = 3,144,367,034/x
  3. Step 3: Cross multiply
    1,435,981,024x = 3,144,367,034 × 3,144,367,034
  4. Step 4: Simplify right side
    1,435,981,024x = 9,887,044,044,505,956,352
  5. Step 5: Solve for x
    x = 9,887,044,044,505,956,352/1,435,981,024
  6. Step 6: Final answer
    x = 6,885,219,149.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.