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Finding the Third Proportional to 1,747,876,239 and 3,745,064,736

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Solution

The third proportional to 1,747,876,239 and 3,745,064,736 is: 8,024,315,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,876,239 : 3,745,064,736 = 3,745,064,736 : x
  2. Step 2: Convert to fraction form
    1,747,876,239/3,745,064,736 = 3,745,064,736/x
  3. Step 3: Cross multiply
    1,747,876,239x = 3,745,064,736 × 3,745,064,736
  4. Step 4: Simplify right side
    1,747,876,239x = 14,025,509,876,830,748,672
  5. Step 5: Solve for x
    x = 14,025,509,876,830,748,672/1,747,876,239
  6. Step 6: Final answer
    x = 8,024,315,202.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.