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Finding the Third Proportional to 2,712,925,938 and 5,876,656,170

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Solution

The third proportional to 2,712,925,938 and 5,876,656,170 is: 12,729,830,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712,925,938 : 5,876,656,170 = 5,876,656,170 : x
  2. Step 2: Convert to fraction form
    2,712,925,938/5,876,656,170 = 5,876,656,170/x
  3. Step 3: Cross multiply
    2,712,925,938x = 5,876,656,170 × 5,876,656,170
  4. Step 4: Simplify right side
    2,712,925,938x = 34,535,087,740,399,067,136
  5. Step 5: Solve for x
    x = 34,535,087,740,399,067,136/2,712,925,938
  6. Step 6: Final answer
    x = 12,729,830,643.98

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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.