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Finding the Third Proportional to 463,408,326 and 699,421,927.50

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Solution

The third proportional to 463,408,326 and 699,421,927.50 is: 1,055,637,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,408,326 : 699,421,927.50 = 699,421,927.50 : x
  2. Step 2: Convert to fraction form
    463,408,326/699,421,927.50 = 699,421,927.50/x
  3. Step 3: Cross multiply
    463,408,326x = 699,421,927.50 × 699,421,927.50
  4. Step 4: Simplify right side
    463,408,326x = 489,191,032,667,815,232
  5. Step 5: Solve for x
    x = 489,191,032,667,815,232/463,408,326
  6. Step 6: Final answer
    x = 1,055,637,124.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.