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Finding the Third Proportional to 207,316,698 and 479,950,856

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Solution

The third proportional to 207,316,698 and 479,950,856 is: 1,111,115,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,316,698 : 479,950,856 = 479,950,856 : x
  2. Step 2: Convert to fraction form
    207,316,698/479,950,856 = 479,950,856/x
  3. Step 3: Cross multiply
    207,316,698x = 479,950,856 × 479,950,856
  4. Step 4: Simplify right side
    207,316,698x = 230,352,824,175,132,736
  5. Step 5: Solve for x
    x = 230,352,824,175,132,736/207,316,698
  6. Step 6: Final answer
    x = 1,111,115,633.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.