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Finding the Third Proportional to 14,646,309 and 31,896,390

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Solution

The third proportional to 14,646,309 and 31,896,390 is: 69,463,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646,309 : 31,896,390 = 31,896,390 : x
  2. Step 2: Convert to fraction form
    14,646,309/31,896,390 = 31,896,390/x
  3. Step 3: Cross multiply
    14,646,309x = 31,896,390 × 31,896,390
  4. Step 4: Simplify right side
    14,646,309x = 1,017,379,695,032,100
  5. Step 5: Solve for x
    x = 1,017,379,695,032,100/14,646,309
  6. Step 6: Final answer
    x = 69,463,213.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.