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Finding the Third Proportional to 6,565,830 and 10,489,056

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Solution

The third proportional to 6,565,830 and 10,489,056 is: 16,756,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565,830 : 10,489,056 = 10,489,056 : x
  2. Step 2: Convert to fraction form
    6,565,830/10,489,056 = 10,489,056/x
  3. Step 3: Cross multiply
    6,565,830x = 10,489,056 × 10,489,056
  4. Step 4: Simplify right side
    6,565,830x = 110,020,295,771,136
  5. Step 5: Solve for x
    x = 110,020,295,771,136/6,565,830
  6. Step 6: Final answer
    x = 16,756,494.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.