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Finding the Third Proportional to 541,817,871 and 1,187,148,639

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Solution

The third proportional to 541,817,871 and 1,187,148,639 is: 2,601,098,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,817,871 : 1,187,148,639 = 1,187,148,639 : x
  2. Step 2: Convert to fraction form
    541,817,871/1,187,148,639 = 1,187,148,639/x
  3. Step 3: Cross multiply
    541,817,871x = 1,187,148,639 × 1,187,148,639
  4. Step 4: Simplify right side
    541,817,871x = 1,409,321,891,079,552,256
  5. Step 5: Solve for x
    x = 1,409,321,891,079,552,256/541,817,871
  6. Step 6: Final answer
    x = 2,601,098,942.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.