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Finding the Third Proportional to 5,473,817 and 7,884,861

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Solution

The third proportional to 5,473,817 and 7,884,861 is: 11,357,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473,817 : 7,884,861 = 7,884,861 : x
  2. Step 2: Convert to fraction form
    5,473,817/7,884,861 = 7,884,861/x
  3. Step 3: Cross multiply
    5,473,817x = 7,884,861 × 7,884,861
  4. Step 4: Simplify right side
    5,473,817x = 62,171,032,989,321
  5. Step 5: Solve for x
    x = 62,171,032,989,321/5,473,817
  6. Step 6: Final answer
    x = 11,357,893.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.