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Finding the Third Proportional to 436,534,773 and 930,216,069

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Solution

The third proportional to 436,534,773 and 930,216,069 is: 1,982,206,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,534,773 : 930,216,069 = 930,216,069 : x
  2. Step 2: Convert to fraction form
    436,534,773/930,216,069 = 930,216,069/x
  3. Step 3: Cross multiply
    436,534,773x = 930,216,069 × 930,216,069
  4. Step 4: Simplify right side
    436,534,773x = 865,301,935,025,812,736
  5. Step 5: Solve for x
    x = 865,301,935,025,812,736/436,534,773
  6. Step 6: Final answer
    x = 1,982,206,203.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.