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Finding the Third Proportional to 372,415,548 and 809,293,164

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Solution

The third proportional to 372,415,548 and 809,293,164 is: 1,758,668,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,415,548 : 809,293,164 = 809,293,164 : x
  2. Step 2: Convert to fraction form
    372,415,548/809,293,164 = 809,293,164/x
  3. Step 3: Cross multiply
    372,415,548x = 809,293,164 × 809,293,164
  4. Step 4: Simplify right side
    372,415,548x = 654,955,425,297,130,880
  5. Step 5: Solve for x
    x = 654,955,425,297,130,880/372,415,548
  6. Step 6: Final answer
    x = 1,758,668,317.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.