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Finding the Third Proportional to 2,457,498 and 5,387,389.50

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Solution

The third proportional to 2,457,498 and 5,387,389.50 is: 11,810,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,498 : 5,387,389.50 = 5,387,389.50 : x
  2. Step 2: Convert to fraction form
    2,457,498/5,387,389.50 = 5,387,389.50/x
  3. Step 3: Cross multiply
    2,457,498x = 5,387,389.50 × 5,387,389.50
  4. Step 4: Simplify right side
    2,457,498x = 29,023,965,624,710.25
  5. Step 5: Solve for x
    x = 29,023,965,624,710.25/2,457,498
  6. Step 6: Final answer
    x = 11,810,372.02

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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.