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Finding the Third Proportional to 33,417,148.50 and 53,173,237.50

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Solution

The third proportional to 33,417,148.50 and 53,173,237.50 is: 84,609,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,417,148.50 : 53,173,237.50 = 53,173,237.50 : x
  2. Step 2: Convert to fraction form
    33,417,148.50/53,173,237.50 = 53,173,237.50/x
  3. Step 3: Cross multiply
    33,417,148.50x = 53,173,237.50 × 53,173,237.50
  4. Step 4: Simplify right side
    33,417,148.50x = 2,827,393,186,231,406
  5. Step 5: Solve for x
    x = 2,827,393,186,231,406/33,417,148.50
  6. Step 6: Final answer
    x = 84,609,049.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.