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Finding the Third Proportional to 34,403,628,599,388 and 73,714,465,006,092

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Solution

The third proportional to 34,403,628,599,388 and 73,714,465,006,092 is: 157,943,291,808,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,403,628,599,388 : 73,714,465,006,092 = 73,714,465,006,092 : x
  2. Step 2: Convert to fraction form
    34,403,628,599,388/73,714,465,006,092 = 73,714,465,006,092/x
  3. Step 3: Cross multiply
    34,403,628,599,388x = 73,714,465,006,092 × 73,714,465,006,092
  4. Step 4: Simplify right side
    34,403,628,599,388x = 5,433,822,351,134,361,655,829,331,968
  5. Step 5: Solve for x
    x = 5,433,822,351,134,361,655,829,331,968/34,403,628,599,388
  6. Step 6: Final answer
    x = 157,943,291,808,208.38

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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.