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Finding the Third Proportional to 316,562,418 and 697,528,523.25

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Solution

The third proportional to 316,562,418 and 697,528,523.25 is: 1,536,967,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,562,418 : 697,528,523.25 = 697,528,523.25 : x
  2. Step 2: Convert to fraction form
    316,562,418/697,528,523.25 = 697,528,523.25/x
  3. Step 3: Cross multiply
    316,562,418x = 697,528,523.25 × 697,528,523.25
  4. Step 4: Simplify right side
    316,562,418x = 486,546,040,747,325,760
  5. Step 5: Solve for x
    x = 486,546,040,747,325,760/316,562,418
  6. Step 6: Final answer
    x = 1,536,967,160.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.