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Finding the Third Proportional to 235,338,457 and 513,051,077

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Solution

The third proportional to 235,338,457 and 513,051,077 is: 1,118,480,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,338,457 : 513,051,077 = 513,051,077 : x
  2. Step 2: Convert to fraction form
    235,338,457/513,051,077 = 513,051,077/x
  3. Step 3: Cross multiply
    235,338,457x = 513,051,077 × 513,051,077
  4. Step 4: Simplify right side
    235,338,457x = 263,221,407,610,859,936
  5. Step 5: Solve for x
    x = 263,221,407,610,859,936/235,338,457
  6. Step 6: Final answer
    x = 1,118,480,213.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.