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Finding the Third Proportional to 14,645,637,997.50 and 31,787,985,813

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Solution

The third proportional to 14,645,637,997.50 and 31,787,985,813 is: 68,995,016,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645,637,997.50 : 31,787,985,813 = 31,787,985,813 : x
  2. Step 2: Convert to fraction form
    14,645,637,997.50/31,787,985,813 = 31,787,985,813/x
  3. Step 3: Cross multiply
    14,645,637,997.50x = 31,787,985,813 × 31,787,985,813
  4. Step 4: Simplify right side
    14,645,637,997.50x = 1,010,476,042,047,489,310,720
  5. Step 5: Solve for x
    x = 1,010,476,042,047,489,310,720/14,645,637,997.50
  6. Step 6: Final answer
    x = 68,995,016,961.36

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