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Finding the Third Proportional to 10,149,688.50 and 21,982,272

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Solution

The third proportional to 10,149,688.50 and 21,982,272 is: 47,609,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,688.50 : 21,982,272 = 21,982,272 : x
  2. Step 2: Convert to fraction form
    10,149,688.50/21,982,272 = 21,982,272/x
  3. Step 3: Cross multiply
    10,149,688.50x = 21,982,272 × 21,982,272
  4. Step 4: Simplify right side
    10,149,688.50x = 483,220,282,281,984
  5. Step 5: Solve for x
    x = 483,220,282,281,984/10,149,688.50
  6. Step 6: Final answer
    x = 47,609,370.70

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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.