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Finding the Third Proportional to 5,770,782 and 9,005,547

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Solution

The third proportional to 5,770,782 and 9,005,547 is: 14,053,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770,782 : 9,005,547 = 9,005,547 : x
  2. Step 2: Convert to fraction form
    5,770,782/9,005,547 = 9,005,547/x
  3. Step 3: Cross multiply
    5,770,782x = 9,005,547 × 9,005,547
  4. Step 4: Simplify right side
    5,770,782x = 81,099,876,769,209
  5. Step 5: Solve for x
    x = 81,099,876,769,209/5,770,782
  6. Step 6: Final answer
    x = 14,053,533.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.