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Finding the Third Proportional to 829,562,808.75 and 1,777,451,423.25

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Solution

The third proportional to 829,562,808.75 and 1,777,451,423.25 is: 3,808,432,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,562,808.75 : 1,777,451,423.25 = 1,777,451,423.25 : x
  2. Step 2: Convert to fraction form
    829,562,808.75/1,777,451,423.25 = 1,777,451,423.25/x
  3. Step 3: Cross multiply
    829,562,808.75x = 1,777,451,423.25 × 1,777,451,423.25
  4. Step 4: Simplify right side
    829,562,808.75x = 3,159,333,562,013,450,752
  5. Step 5: Solve for x
    x = 3,159,333,562,013,450,752/829,562,808.75
  6. Step 6: Final answer
    x = 3,808,432,018.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.