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Finding the Third Proportional to 771,056,181 and 1,174,663,039.50

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Solution

The third proportional to 771,056,181 and 1,174,663,039.50 is: 1,789,536,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,056,181 : 1,174,663,039.50 = 1,174,663,039.50 : x
  2. Step 2: Convert to fraction form
    771,056,181/1,174,663,039.50 = 1,174,663,039.50/x
  3. Step 3: Cross multiply
    771,056,181x = 1,174,663,039.50 × 1,174,663,039.50
  4. Step 4: Simplify right side
    771,056,181x = 1,379,833,256,367,378,688
  5. Step 5: Solve for x
    x = 1,379,833,256,367,378,688/771,056,181
  6. Step 6: Final answer
    x = 1,789,536,599.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.