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Finding the Third Proportional to 32,456,493 and 68,534,658

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Solution

The third proportional to 32,456,493 and 68,534,658 is: 144,716,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456,493 : 68,534,658 = 68,534,658 : x
  2. Step 2: Convert to fraction form
    32,456,493/68,534,658 = 68,534,658/x
  3. Step 3: Cross multiply
    32,456,493x = 68,534,658 × 68,534,658
  4. Step 4: Simplify right side
    32,456,493x = 4,696,999,347,176,964
  5. Step 5: Solve for x
    x = 4,696,999,347,176,964/32,456,493
  6. Step 6: Final answer
    x = 144,716,785.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.