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Finding the Third Proportional to 19,314,820 and 28,974,534

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Solution

The third proportional to 19,314,820 and 28,974,534 is: 43,465,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314,820 : 28,974,534 = 28,974,534 : x
  2. Step 2: Convert to fraction form
    19,314,820/28,974,534 = 28,974,534/x
  3. Step 3: Cross multiply
    19,314,820x = 28,974,534 × 28,974,534
  4. Step 4: Simplify right side
    19,314,820x = 839,523,620,517,156
  5. Step 5: Solve for x
    x = 839,523,620,517,156/19,314,820
  6. Step 6: Final answer
    x = 43,465,257.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.