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Finding the Third Proportional to 333,699,822 and 488,603,826

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Solution

The third proportional to 333,699,822 and 488,603,826 is: 715,414,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,699,822 : 488,603,826 = 488,603,826 : x
  2. Step 2: Convert to fraction form
    333,699,822/488,603,826 = 488,603,826/x
  3. Step 3: Cross multiply
    333,699,822x = 488,603,826 × 488,603,826
  4. Step 4: Simplify right side
    333,699,822x = 238,733,698,781,838,272
  5. Step 5: Solve for x
    x = 238,733,698,781,838,272/333,699,822
  6. Step 6: Final answer
    x = 715,414,522.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.