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Finding the Third Proportional to 1,067,170,749 and 2,312,456,122.50

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Solution

The third proportional to 1,067,170,749 and 2,312,456,122.50 is: 5,010,869,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,170,749 : 2,312,456,122.50 = 2,312,456,122.50 : x
  2. Step 2: Convert to fraction form
    1,067,170,749/2,312,456,122.50 = 2,312,456,122.50/x
  3. Step 3: Cross multiply
    1,067,170,749x = 2,312,456,122.50 × 2,312,456,122.50
  4. Step 4: Simplify right side
    1,067,170,749x = 5,347,453,318,487,735,296
  5. Step 5: Solve for x
    x = 5,347,453,318,487,735,296/1,067,170,749
  6. Step 6: Final answer
    x = 5,010,869,463.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.