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Finding the Third Proportional to 517,673,253 and 728,142,007.50

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Solution

The third proportional to 517,673,253 and 728,142,007.50 is: 1,024,180,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,673,253 : 728,142,007.50 = 728,142,007.50 : x
  2. Step 2: Convert to fraction form
    517,673,253/728,142,007.50 = 728,142,007.50/x
  3. Step 3: Cross multiply
    517,673,253x = 728,142,007.50 × 728,142,007.50
  4. Step 4: Simplify right side
    517,673,253x = 530,190,783,086,130,048
  5. Step 5: Solve for x
    x = 530,190,783,086,130,048/517,673,253
  6. Step 6: Final answer
    x = 1,024,180,368.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.