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Finding the Third Proportional to 344,547,002 and 529,593,447

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Solution

The third proportional to 344,547,002 and 529,593,447 is: 814,023,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547,002 : 529,593,447 = 529,593,447 : x
  2. Step 2: Convert to fraction form
    344,547,002/529,593,447 = 529,593,447/x
  3. Step 3: Cross multiply
    344,547,002x = 529,593,447 × 529,593,447
  4. Step 4: Simplify right side
    344,547,002x = 280,469,219,105,341,824
  5. Step 5: Solve for x
    x = 280,469,219,105,341,824/344,547,002
  6. Step 6: Final answer
    x = 814,023,101.28

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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.