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Finding the Third Proportional to 29,596,495,570 and 69,060,876,237

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Solution

The third proportional to 29,596,495,570 and 69,060,876,237 is: 161,147,613,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596,495,570 : 69,060,876,237 = 69,060,876,237 : x
  2. Step 2: Convert to fraction form
    29,596,495,570/69,060,876,237 = 69,060,876,237/x
  3. Step 3: Cross multiply
    29,596,495,570x = 69,060,876,237 × 69,060,876,237
  4. Step 4: Simplify right side
    29,596,495,570x = 4,769,404,626,622,230,822,912
  5. Step 5: Solve for x
    x = 4,769,404,626,622,230,822,912/29,596,495,570
  6. Step 6: Final answer
    x = 161,147,613,417.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.