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Finding the Third Proportional to 2,473,038 and 5,381,562

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Solution

The third proportional to 2,473,038 and 5,381,562 is: 11,710,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,038 : 5,381,562 = 5,381,562 : x
  2. Step 2: Convert to fraction form
    2,473,038/5,381,562 = 5,381,562/x
  3. Step 3: Cross multiply
    2,473,038x = 5,381,562 × 5,381,562
  4. Step 4: Simplify right side
    2,473,038x = 28,961,209,559,844
  5. Step 5: Solve for x
    x = 28,961,209,559,844/2,473,038
  6. Step 6: Final answer
    x = 11,710,782.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.