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Finding the Third Proportional to 33,443,829 and 51,165,295.50

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Solution

The third proportional to 33,443,829 and 51,165,295.50 is: 78,277,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,443,829 : 51,165,295.50 = 51,165,295.50 : x
  2. Step 2: Convert to fraction form
    33,443,829/51,165,295.50 = 51,165,295.50/x
  3. Step 3: Cross multiply
    33,443,829x = 51,165,295.50 × 51,165,295.50
  4. Step 4: Simplify right side
    33,443,829x = 2,617,887,463,602,320
  5. Step 5: Solve for x
    x = 2,617,887,463,602,320/33,443,829
  6. Step 6: Final answer
    x = 78,277,145.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.