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Finding the Third Proportional to 32,456,459 and 68,534,590

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Solution

The third proportional to 32,456,459 and 68,534,590 is: 144,716,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456,459 : 68,534,590 = 68,534,590 : x
  2. Step 2: Convert to fraction form
    32,456,459/68,534,590 = 68,534,590/x
  3. Step 3: Cross multiply
    32,456,459x = 68,534,590 × 68,534,590
  4. Step 4: Simplify right side
    32,456,459x = 4,696,990,026,468,100
  5. Step 5: Solve for x
    x = 4,696,990,026,468,100/32,456,459
  6. Step 6: Final answer
    x = 144,716,650.28

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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.