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Finding the Third Proportional to 333,790,114 and 677,013,271

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Solution

The third proportional to 333,790,114 and 677,013,271 is: 1,373,159,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,790,114 : 677,013,271 = 677,013,271 : x
  2. Step 2: Convert to fraction form
    333,790,114/677,013,271 = 677,013,271/x
  3. Step 3: Cross multiply
    333,790,114x = 677,013,271 × 677,013,271
  4. Step 4: Simplify right side
    333,790,114x = 458,346,969,110,119,424
  5. Step 5: Solve for x
    x = 458,346,969,110,119,424/333,790,114
  6. Step 6: Final answer
    x = 1,373,159,209.59

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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.