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Finding the Third Proportional to 973,885,860 and 1,981,783,836

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Solution

The third proportional to 973,885,860 and 1,981,783,836 is: 4,032,779,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,885,860 : 1,981,783,836 = 1,981,783,836 : x
  2. Step 2: Convert to fraction form
    973,885,860/1,981,783,836 = 1,981,783,836/x
  3. Step 3: Cross multiply
    973,885,860x = 1,981,783,836 × 1,981,783,836
  4. Step 4: Simplify right side
    973,885,860x = 3,927,467,172,630,875,136
  5. Step 5: Solve for x
    x = 3,927,467,172,630,875,136/973,885,860
  6. Step 6: Final answer
    x = 4,032,779,747.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.