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Finding the Third Proportional to 680,587,773 and 1,464,604,493

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Solution

The third proportional to 680,587,773 and 1,464,604,493 is: 3,151,784,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,587,773 : 1,464,604,493 = 1,464,604,493 : x
  2. Step 2: Convert to fraction form
    680,587,773/1,464,604,493 = 1,464,604,493/x
  3. Step 3: Cross multiply
    680,587,773x = 1,464,604,493 × 1,464,604,493
  4. Step 4: Simplify right side
    680,587,773x = 2,145,066,320,915,787,008
  5. Step 5: Solve for x
    x = 2,145,066,320,915,787,008/680,587,773
  6. Step 6: Final answer
    x = 3,151,784,980.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.