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Finding the Third Proportional to 69,826,622,140 and 153,172,038,008

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Solution

The third proportional to 69,826,622,140 and 153,172,038,008 is: 335,998,971,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,826,622,140 : 153,172,038,008 = 153,172,038,008 : x
  2. Step 2: Convert to fraction form
    69,826,622,140/153,172,038,008 = 153,172,038,008/x
  3. Step 3: Cross multiply
    69,826,622,140x = 153,172,038,008 × 153,172,038,008
  4. Step 4: Simplify right side
    69,826,622,140x = 23,461,673,227,524,197,318,656
  5. Step 5: Solve for x
    x = 23,461,673,227,524,197,318,656/69,826,622,140
  6. Step 6: Final answer
    x = 335,998,971,573.97

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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.