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Finding the Third Proportional to 344,546,673.75 and 529,592,981.63

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Solution

The third proportional to 344,546,673.75 and 529,592,981.63 is: 814,022,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,546,673.75 : 529,592,981.63 = 529,592,981.63 : x
  2. Step 2: Convert to fraction form
    344,546,673.75/529,592,981.63 = 529,592,981.63/x
  3. Step 3: Cross multiply
    344,546,673.75x = 529,592,981.63 × 529,592,981.63
  4. Step 4: Simplify right side
    344,546,673.75x = 280,468,726,186,457,600
  5. Step 5: Solve for x
    x = 280,468,726,186,457,600/344,546,673.75
  6. Step 6: Final answer
    x = 814,022,446.17

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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.