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Finding the Third Proportional to 568,710,765,182 and 1,184,493,385,948

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Solution

The third proportional to 568,710,765,182 and 1,184,493,385,948 is: 2,467,026,592,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,710,765,182 : 1,184,493,385,948 = 1,184,493,385,948 : x
  2. Step 2: Convert to fraction form
    568,710,765,182/1,184,493,385,948 = 1,184,493,385,948/x
  3. Step 3: Cross multiply
    568,710,765,182x = 1,184,493,385,948 × 1,184,493,385,948
  4. Step 4: Simplify right side
    568,710,765,182x = 1,403,024,581,354,557,624,287,232
  5. Step 5: Solve for x
    x = 1,403,024,581,354,557,624,287,232/568,710,765,182
  6. Step 6: Final answer
    x = 2,467,026,592,868.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.