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Finding the Third Proportional to 5,565,592 and 8,513,913

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Solution

The third proportional to 5,565,592 and 8,513,913 is: 13,024,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565,592 : 8,513,913 = 8,513,913 : x
  2. Step 2: Convert to fraction form
    5,565,592/8,513,913 = 8,513,913/x
  3. Step 3: Cross multiply
    5,565,592x = 8,513,913 × 8,513,913
  4. Step 4: Simplify right side
    5,565,592x = 72,486,714,571,569
  5. Step 5: Solve for x
    x = 72,486,714,571,569/5,565,592
  6. Step 6: Final answer
    x = 13,024,079.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.