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Finding the Third Proportional to 5,899,854 and 12,837,984

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Solution

The third proportional to 5,899,854 and 12,837,984 is: 27,935,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899,854 : 12,837,984 = 12,837,984 : x
  2. Step 2: Convert to fraction form
    5,899,854/12,837,984 = 12,837,984/x
  3. Step 3: Cross multiply
    5,899,854x = 12,837,984 × 12,837,984
  4. Step 4: Simplify right side
    5,899,854x = 164,813,833,184,256
  5. Step 5: Solve for x
    x = 164,813,833,184,256/5,899,854
  6. Step 6: Final answer
    x = 27,935,239.28

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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.