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Finding the Third Proportional to 6,000,270.75 and 12,938,764.50

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Solution

The third proportional to 6,000,270.75 and 12,938,764.50 is: 27,900,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000,270.75 : 12,938,764.50 = 12,938,764.50 : x
  2. Step 2: Convert to fraction form
    6,000,270.75/12,938,764.50 = 12,938,764.50/x
  3. Step 3: Cross multiply
    6,000,270.75x = 12,938,764.50 × 12,938,764.50
  4. Step 4: Simplify right side
    6,000,270.75x = 167,411,626,786,460.25
  5. Step 5: Solve for x
    x = 167,411,626,786,460.25/6,000,270.75
  6. Step 6: Final answer
    x = 27,900,678.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.