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Finding the Third Proportional to 508,723,868.25 and 1,101,961,732.50

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Solution

The third proportional to 508,723,868.25 and 1,101,961,732.50 is: 2,386,991,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,723,868.25 : 1,101,961,732.50 = 1,101,961,732.50 : x
  2. Step 2: Convert to fraction form
    508,723,868.25/1,101,961,732.50 = 1,101,961,732.50/x
  3. Step 3: Cross multiply
    508,723,868.25x = 1,101,961,732.50 × 1,101,961,732.50
  4. Step 4: Simplify right side
    508,723,868.25x = 1,214,319,659,894,401,536
  5. Step 5: Solve for x
    x = 1,214,319,659,894,401,536/508,723,868.25
  6. Step 6: Final answer
    x = 2,386,991,717.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.