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Finding the Third Proportional to 72,026,912 and 158,053,045

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Solution

The third proportional to 72,026,912 and 158,053,045 is: 346,825,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,026,912 : 158,053,045 = 158,053,045 : x
  2. Step 2: Convert to fraction form
    72,026,912/158,053,045 = 158,053,045/x
  3. Step 3: Cross multiply
    72,026,912x = 158,053,045 × 158,053,045
  4. Step 4: Simplify right side
    72,026,912x = 24,980,765,033,772,024
  5. Step 5: Solve for x
    x = 24,980,765,033,772,024/72,026,912
  6. Step 6: Final answer
    x = 346,825,434.27

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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.