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Finding the Third Proportional to 344,549,057 and 529,595,665.50

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Solution

The third proportional to 344,549,057 and 529,595,665.50 is: 814,025,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,549,057 : 529,595,665.50 = 529,595,665.50 : x
  2. Step 2: Convert to fraction form
    344,549,057/529,595,665.50 = 529,595,665.50/x
  3. Step 3: Cross multiply
    344,549,057x = 529,595,665.50 × 529,595,665.50
  4. Step 4: Simplify right side
    344,549,057x = 280,471,568,916,387,904
  5. Step 5: Solve for x
    x = 280,471,568,916,387,904/344,549,057
  6. Step 6: Final answer
    x = 814,025,066.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.