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Finding the Third Proportional to 323,549,119,769 and 703,413,693,291

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Solution

The third proportional to 323,549,119,769 and 703,413,693,291 is: 1,529,260,299,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,549,119,769 : 703,413,693,291 = 703,413,693,291 : x
  2. Step 2: Convert to fraction form
    323,549,119,769/703,413,693,291 = 703,413,693,291/x
  3. Step 3: Cross multiply
    323,549,119,769x = 703,413,693,291 × 703,413,693,291
  4. Step 4: Simplify right side
    323,549,119,769x = 494,790,823,909,285,018,206,208
  5. Step 5: Solve for x
    x = 494,790,823,909,285,018,206,208/323,549,119,769
  6. Step 6: Final answer
    x = 1,529,260,299,834.98

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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.