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Finding the Third Proportional to 32,456,465 and 68,534,604

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Solution

The third proportional to 32,456,465 and 68,534,604 is: 144,716,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456,465 : 68,534,604 = 68,534,604 : x
  2. Step 2: Convert to fraction form
    32,456,465/68,534,604 = 68,534,604/x
  3. Step 3: Cross multiply
    32,456,465x = 68,534,604 × 68,534,604
  4. Step 4: Simplify right side
    32,456,465x = 4,696,991,945,436,816
  5. Step 5: Solve for x
    x = 4,696,991,945,436,816/32,456,465
  6. Step 6: Final answer
    x = 144,716,682.65

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