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Finding the Third Proportional to 5,905,996 and 9,252,653

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Solution

The third proportional to 5,905,996 and 9,252,653 is: 14,495,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905,996 : 9,252,653 = 9,252,653 : x
  2. Step 2: Convert to fraction form
    5,905,996/9,252,653 = 9,252,653/x
  3. Step 3: Cross multiply
    5,905,996x = 9,252,653 × 9,252,653
  4. Step 4: Simplify right side
    5,905,996x = 85,611,587,538,409
  5. Step 5: Solve for x
    x = 85,611,587,538,409/5,905,996
  6. Step 6: Final answer
    x = 14,495,707.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.