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Finding the Third Proportional to 34,225,520,796 and 73,161,170,364

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Solution

The third proportional to 34,225,520,796 and 73,161,170,364 is: 156,390,807,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225,520,796 : 73,161,170,364 = 73,161,170,364 : x
  2. Step 2: Convert to fraction form
    34,225,520,796/73,161,170,364 = 73,161,170,364/x
  3. Step 3: Cross multiply
    34,225,520,796x = 73,161,170,364 × 73,161,170,364
  4. Step 4: Simplify right side
    34,225,520,796x = 5,352,556,849,030,232,014,848
  5. Step 5: Solve for x
    x = 5,352,556,849,030,232,014,848/34,225,520,796
  6. Step 6: Final answer
    x = 156,390,807,927.63

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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.