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Finding the Third Proportional to 314,613,144 and 641,717,136

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Solution

The third proportional to 314,613,144 and 641,717,136 is: 1,308,911,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,613,144 : 641,717,136 = 641,717,136 : x
  2. Step 2: Convert to fraction form
    314,613,144/641,717,136 = 641,717,136/x
  3. Step 3: Cross multiply
    314,613,144x = 641,717,136 × 641,717,136
  4. Step 4: Simplify right side
    314,613,144x = 411,800,882,636,042,496
  5. Step 5: Solve for x
    x = 411,800,882,636,042,496/314,613,144
  6. Step 6: Final answer
    x = 1,308,911,882.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.