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Finding the Third Proportional to 71,755,157,152 and 153,745,207,608

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Solution

The third proportional to 71,755,157,152 and 153,745,207,608 is: 329,420,069,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755,157,152 : 153,745,207,608 = 153,745,207,608 : x
  2. Step 2: Convert to fraction form
    71,755,157,152/153,745,207,608 = 153,745,207,608/x
  3. Step 3: Cross multiply
    71,755,157,152x = 153,745,207,608 × 153,745,207,608
  4. Step 4: Simplify right side
    71,755,157,152x = 23,637,588,862,427,019,083,776
  5. Step 5: Solve for x
    x = 23,637,588,862,427,019,083,776/71,755,157,152
  6. Step 6: Final answer
    x = 329,420,069,589.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.