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Finding the Third Proportional to 344,547,063 and 529,593,630.75

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Solution

The third proportional to 344,547,063 and 529,593,630.75 is: 814,023,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547,063 : 529,593,630.75 = 529,593,630.75 : x
  2. Step 2: Convert to fraction form
    344,547,063/529,593,630.75 = 529,593,630.75/x
  3. Step 3: Cross multiply
    344,547,063x = 529,593,630.75 × 529,593,630.75
  4. Step 4: Simplify right side
    344,547,063x = 280,469,413,730,967,360
  5. Step 5: Solve for x
    x = 280,469,413,730,967,360/344,547,063
  6. Step 6: Final answer
    x = 814,023,522.04

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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.