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Finding the Third Proportional to 320,877,363.75 and 703,269,023.25

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Solution

The third proportional to 320,877,363.75 and 703,269,023.25 is: 1,541,359,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,877,363.75 : 703,269,023.25 = 703,269,023.25 : x
  2. Step 2: Convert to fraction form
    320,877,363.75/703,269,023.25 = 703,269,023.25/x
  3. Step 3: Cross multiply
    320,877,363.75x = 703,269,023.25 × 703,269,023.25
  4. Step 4: Simplify right side
    320,877,363.75x = 494,587,319,063,009,024
  5. Step 5: Solve for x
    x = 494,587,319,063,009,024/320,877,363.75
  6. Step 6: Final answer
    x = 1,541,359,332.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.