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Finding the Third Proportional to 9,331,431 and 13,343,962.50

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Solution

The third proportional to 9,331,431 and 13,343,962.50 is: 19,081,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331,431 : 13,343,962.50 = 13,343,962.50 : x
  2. Step 2: Convert to fraction form
    9,331,431/13,343,962.50 = 13,343,962.50/x
  3. Step 3: Cross multiply
    9,331,431x = 13,343,962.50 × 13,343,962.50
  4. Step 4: Simplify right side
    9,331,431x = 178,061,335,201,406.25
  5. Step 5: Solve for x
    x = 178,061,335,201,406.25/9,331,431
  6. Step 6: Final answer
    x = 19,081,889.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.