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Finding the Third Proportional to 127,773,609.75 and 277,934,325.75

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Solution

The third proportional to 127,773,609.75 and 277,934,325.75 is: 604,565,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,773,609.75 : 277,934,325.75 = 277,934,325.75 : x
  2. Step 2: Convert to fraction form
    127,773,609.75/277,934,325.75 = 277,934,325.75/x
  3. Step 3: Cross multiply
    127,773,609.75x = 277,934,325.75 × 277,934,325.75
  4. Step 4: Simplify right side
    127,773,609.75x = 77,247,489,430,107,120
  5. Step 5: Solve for x
    x = 77,247,489,430,107,120/127,773,609.75
  6. Step 6: Final answer
    x = 604,565,289.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.