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Finding the Third Proportional to 78,637,330,346 and 173,303,452,774

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Solution

The third proportional to 78,637,330,346 and 173,303,452,774 is: 381,931,667,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,637,330,346 : 173,303,452,774 = 173,303,452,774 : x
  2. Step 2: Convert to fraction form
    78,637,330,346/173,303,452,774 = 173,303,452,774/x
  3. Step 3: Cross multiply
    78,637,330,346x = 173,303,452,774 × 173,303,452,774
  4. Step 4: Simplify right side
    78,637,330,346x = 30,034,086,743,390,048,747,520
  5. Step 5: Solve for x
    x = 30,034,086,743,390,048,747,520/78,637,330,346
  6. Step 6: Final answer
    x = 381,931,667,965.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.