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Finding the Third Proportional to 60,777,969 and 133,082,643

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Solution

The third proportional to 60,777,969 and 133,082,643 is: 291,404,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,777,969 : 133,082,643 = 133,082,643 : x
  2. Step 2: Convert to fraction form
    60,777,969/133,082,643 = 133,082,643/x
  3. Step 3: Cross multiply
    60,777,969x = 133,082,643 × 133,082,643
  4. Step 4: Simplify right side
    60,777,969x = 17,710,989,867,865,448
  5. Step 5: Solve for x
    x = 17,710,989,867,865,448/60,777,969
  6. Step 6: Final answer
    x = 291,404,766.55

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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.