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Finding the Third Proportional to 344,547,118 and 529,593,729

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Solution

The third proportional to 344,547,118 and 529,593,729 is: 814,023,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547,118 : 529,593,729 = 529,593,729 : x
  2. Step 2: Convert to fraction form
    344,547,118/529,593,729 = 529,593,729/x
  3. Step 3: Cross multiply
    344,547,118x = 529,593,729 × 529,593,729
  4. Step 4: Simplify right side
    344,547,118x = 280,469,517,796,125,440
  5. Step 5: Solve for x
    x = 280,469,517,796,125,440/344,547,118
  6. Step 6: Final answer
    x = 814,023,694.13

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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.