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Finding the Third Proportional to 267,543,154.13 and 587,698,967.25

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Solution

The third proportional to 267,543,154.13 and 587,698,967.25 is: 1,290,969,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,543,154.13 : 587,698,967.25 = 587,698,967.25 : x
  2. Step 2: Convert to fraction form
    267,543,154.13/587,698,967.25 = 587,698,967.25/x
  3. Step 3: Cross multiply
    267,543,154.13x = 587,698,967.25 × 587,698,967.25
  4. Step 4: Simplify right side
    267,543,154.13x = 345,390,076,106,716,544
  5. Step 5: Solve for x
    x = 345,390,076,106,716,544/267,543,154.13
  6. Step 6: Final answer
    x = 1,290,969,590.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.