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Finding the Third Proportional to 7,883,639 and 16,997,830

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Solution

The third proportional to 7,883,639 and 16,997,830 is: 36,648,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883,639 : 16,997,830 = 16,997,830 : x
  2. Step 2: Convert to fraction form
    7,883,639/16,997,830 = 16,997,830/x
  3. Step 3: Cross multiply
    7,883,639x = 16,997,830 × 16,997,830
  4. Step 4: Simplify right side
    7,883,639x = 288,926,224,708,900
  5. Step 5: Solve for x
    x = 288,926,224,708,900/7,883,639
  6. Step 6: Final answer
    x = 36,648,840.05

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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.