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Finding the Third Proportional to 1,308,776,152 and 2,863,826,324

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Solution

The third proportional to 1,308,776,152 and 2,863,826,324 is: 6,266,542,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,776,152 : 2,863,826,324 = 2,863,826,324 : x
  2. Step 2: Convert to fraction form
    1,308,776,152/2,863,826,324 = 2,863,826,324/x
  3. Step 3: Cross multiply
    1,308,776,152x = 2,863,826,324 × 2,863,826,324
  4. Step 4: Simplify right side
    1,308,776,152x = 8,201,501,214,035,352,576
  5. Step 5: Solve for x
    x = 8,201,501,214,035,352,576/1,308,776,152
  6. Step 6: Final answer
    x = 6,266,542,373.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.