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Finding the Third Proportional to 10,916,345,853 and 16,768,842,624

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Solution

The third proportional to 10,916,345,853 and 16,768,842,624 is: 25,758,993,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916,345,853 : 16,768,842,624 = 16,768,842,624 : x
  2. Step 2: Convert to fraction form
    10,916,345,853/16,768,842,624 = 16,768,842,624/x
  3. Step 3: Cross multiply
    10,916,345,853x = 16,768,842,624 × 16,768,842,624
  4. Step 4: Simplify right side
    10,916,345,853x = 281,194,082,948,479,188,992
  5. Step 5: Solve for x
    x = 281,194,082,948,479,188,992/10,916,345,853
  6. Step 6: Final answer
    x = 25,758,993,598.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.