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Finding the Third Proportional to 31,846,273.88 and 69,653,702.25

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Solution

The third proportional to 31,846,273.88 and 69,653,702.25 is: 152,345,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846,273.88 : 69,653,702.25 = 69,653,702.25 : x
  2. Step 2: Convert to fraction form
    31,846,273.88/69,653,702.25 = 69,653,702.25/x
  3. Step 3: Cross multiply
    31,846,273.88x = 69,653,702.25 × 69,653,702.25
  4. Step 4: Simplify right side
    31,846,273.88x = 4,851,638,237,131,655
  5. Step 5: Solve for x
    x = 4,851,638,237,131,655/31,846,273.88
  6. Step 6: Final answer
    x = 152,345,554.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.