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Finding the Third Proportional to 277,502,459.25 and 617,050,086

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Solution

The third proportional to 277,502,459.25 and 617,050,086 is: 1,372,062,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502,459.25 : 617,050,086 = 617,050,086 : x
  2. Step 2: Convert to fraction form
    277,502,459.25/617,050,086 = 617,050,086/x
  3. Step 3: Cross multiply
    277,502,459.25x = 617,050,086 × 617,050,086
  4. Step 4: Simplify right side
    277,502,459.25x = 380,750,808,632,607,424
  5. Step 5: Solve for x
    x = 380,750,808,632,607,424/277,502,459.25
  6. Step 6: Final answer
    x = 1,372,062,826.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.