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Finding the Third Proportional to 514,228,299.19 and 783,373,683.38

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Solution

The third proportional to 514,228,299.19 and 783,373,683.38 is: 1,193,388,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,228,299.19 : 783,373,683.38 = 783,373,683.38 : x
  2. Step 2: Convert to fraction form
    514,228,299.19/783,373,683.38 = 783,373,683.38/x
  3. Step 3: Cross multiply
    514,228,299.19x = 783,373,683.38 × 783,373,683.38
  4. Step 4: Simplify right side
    514,228,299.19x = 613,674,327,804,514,688
  5. Step 5: Solve for x
    x = 613,674,327,804,514,688/514,228,299.19
  6. Step 6: Final answer
    x = 1,193,388,867.89

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Why These Related Problems?

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