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Finding the Third Proportional to 5,330,742 and 7,597,377

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Solution

The third proportional to 5,330,742 and 7,597,377 is: 10,827,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330,742 : 7,597,377 = 7,597,377 : x
  2. Step 2: Convert to fraction form
    5,330,742/7,597,377 = 7,597,377/x
  3. Step 3: Cross multiply
    5,330,742x = 7,597,377 × 7,597,377
  4. Step 4: Simplify right side
    5,330,742x = 57,720,137,280,129
  5. Step 5: Solve for x
    x = 57,720,137,280,129/5,330,742
  6. Step 6: Final answer
    x = 10,827,786.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.