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Finding the Third Proportional to 6,972,213 and 14,952,991.50

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Solution

The third proportional to 6,972,213 and 14,952,991.50 is: 32,069,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972,213 : 14,952,991.50 = 14,952,991.50 : x
  2. Step 2: Convert to fraction form
    6,972,213/14,952,991.50 = 14,952,991.50/x
  3. Step 3: Cross multiply
    6,972,213x = 14,952,991.50 × 14,952,991.50
  4. Step 4: Simplify right side
    6,972,213x = 223,591,954,799,072.25
  5. Step 5: Solve for x
    x = 223,591,954,799,072.25/6,972,213
  6. Step 6: Final answer
    x = 32,069,008.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.