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Finding the Third Proportional to 7,883,575 and 16,997,702

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Solution

The third proportional to 7,883,575 and 16,997,702 is: 36,648,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883,575 : 16,997,702 = 16,997,702 : x
  2. Step 2: Convert to fraction form
    7,883,575/16,997,702 = 16,997,702/x
  3. Step 3: Cross multiply
    7,883,575x = 16,997,702 × 16,997,702
  4. Step 4: Simplify right side
    7,883,575x = 288,921,873,280,804
  5. Step 5: Solve for x
    x = 288,921,873,280,804/7,883,575
  6. Step 6: Final answer
    x = 36,648,585.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.