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Finding the Third Proportional to 35,983,053 and 51,283,110

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Solution

The third proportional to 35,983,053 and 51,283,110 is: 73,088,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983,053 : 51,283,110 = 51,283,110 : x
  2. Step 2: Convert to fraction form
    35,983,053/51,283,110 = 51,283,110/x
  3. Step 3: Cross multiply
    35,983,053x = 51,283,110 × 51,283,110
  4. Step 4: Simplify right side
    35,983,053x = 2,629,957,371,272,100
  5. Step 5: Solve for x
    x = 2,629,957,371,272,100/35,983,053
  6. Step 6: Final answer
    x = 73,088,777.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.