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Finding the Third Proportional to 323,549,119,760 and 703,413,693,274

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Solution

The third proportional to 323,549,119,760 and 703,413,693,274 is: 1,529,260,299,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,549,119,760 : 703,413,693,274 = 703,413,693,274 : x
  2. Step 2: Convert to fraction form
    323,549,119,760/703,413,693,274 = 703,413,693,274/x
  3. Step 3: Cross multiply
    323,549,119,760x = 703,413,693,274 × 703,413,693,274
  4. Step 4: Simplify right side
    323,549,119,760x = 494,790,823,885,368,962,580,480
  5. Step 5: Solve for x
    x = 494,790,823,885,368,962,580,480/323,549,119,760
  6. Step 6: Final answer
    x = 1,529,260,299,803.60

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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.