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Finding the Third Proportional to 340,847,109 and 736,175,142

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Solution

The third proportional to 340,847,109 and 736,175,142 is: 1,590,020,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,847,109 : 736,175,142 = 736,175,142 : x
  2. Step 2: Convert to fraction form
    340,847,109/736,175,142 = 736,175,142/x
  3. Step 3: Cross multiply
    340,847,109x = 736,175,142 × 736,175,142
  4. Step 4: Simplify right side
    340,847,109x = 541,953,839,698,720,192
  5. Step 5: Solve for x
    x = 541,953,839,698,720,192/340,847,109
  6. Step 6: Final answer
    x = 1,590,020,350.44

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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.