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Finding the Third Proportional to 33,411,948 and 53,165,509.50

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Solution

The third proportional to 33,411,948 and 53,165,509.50 is: 84,597,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411,948 : 53,165,509.50 = 53,165,509.50 : x
  2. Step 2: Convert to fraction form
    33,411,948/53,165,509.50 = 53,165,509.50/x
  3. Step 3: Cross multiply
    33,411,948x = 53,165,509.50 × 53,165,509.50
  4. Step 4: Simplify right side
    33,411,948x = 2,826,571,400,394,590
  5. Step 5: Solve for x
    x = 2,826,571,400,394,590/33,411,948
  6. Step 6: Final answer
    x = 84,597,623.59

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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.