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Finding the Third Proportional to 5,677,972 and 12,314,259.50

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Solution

The third proportional to 5,677,972 and 12,314,259.50 is: 26,706,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,972 : 12,314,259.50 = 12,314,259.50 : x
  2. Step 2: Convert to fraction form
    5,677,972/12,314,259.50 = 12,314,259.50/x
  3. Step 3: Cross multiply
    5,677,972x = 12,314,259.50 × 12,314,259.50
  4. Step 4: Simplify right side
    5,677,972x = 151,640,987,033,340.25
  5. Step 5: Solve for x
    x = 151,640,987,033,340.25/5,677,972
  6. Step 6: Final answer
    x = 26,706,892.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.