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Finding the Third Proportional to 344,547,006.75 and 529,593,616.13

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Solution

The third proportional to 344,547,006.75 and 529,593,616.13 is: 814,023,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,547,006.75 : 529,593,616.13 = 529,593,616.13 : x
  2. Step 2: Convert to fraction form
    344,547,006.75/529,593,616.13 = 529,593,616.13/x
  3. Step 3: Cross multiply
    344,547,006.75x = 529,593,616.13 × 529,593,616.13
  4. Step 4: Simplify right side
    344,547,006.75x = 280,469,398,240,353,856
  5. Step 5: Solve for x
    x = 280,469,398,240,353,856/344,547,006.75
  6. Step 6: Final answer
    x = 814,023,609.97

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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.