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Finding the Third Proportional to 235,338,455 and 513,051,073

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Solution

The third proportional to 235,338,455 and 513,051,073 is: 1,118,480,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,338,455 : 513,051,073 = 513,051,073 : x
  2. Step 2: Convert to fraction form
    235,338,455/513,051,073 = 513,051,073/x
  3. Step 3: Cross multiply
    235,338,455x = 513,051,073 × 513,051,073
  4. Step 4: Simplify right side
    235,338,455x = 263,221,403,506,451,328
  5. Step 5: Solve for x
    x = 263,221,403,506,451,328/235,338,455
  6. Step 6: Final answer
    x = 1,118,480,205.48

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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.