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Finding the Third Proportional to 323,549,119,765 and 703,413,693,283

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Solution

The third proportional to 323,549,119,765 and 703,413,693,283 is: 1,529,260,299,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,549,119,765 : 703,413,693,283 = 703,413,693,283 : x
  2. Step 2: Convert to fraction form
    323,549,119,765/703,413,693,283 = 703,413,693,283/x
  3. Step 3: Cross multiply
    323,549,119,765x = 703,413,693,283 × 703,413,693,283
  4. Step 4: Simplify right side
    323,549,119,765x = 494,790,823,898,030,391,951,360
  5. Step 5: Solve for x
    x = 494,790,823,898,030,391,951,360/323,549,119,765
  6. Step 6: Final answer
    x = 1,529,260,299,819.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.