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Finding the Third Proportional to 5,821,695,746 and 12,663,412,780

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Solution

The third proportional to 5,821,695,746 and 12,663,412,780 is: 27,545,586,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821,695,746 : 12,663,412,780 = 12,663,412,780 : x
  2. Step 2: Convert to fraction form
    5,821,695,746/12,663,412,780 = 12,663,412,780/x
  3. Step 3: Cross multiply
    5,821,695,746x = 12,663,412,780 × 12,663,412,780
  4. Step 4: Simplify right side
    5,821,695,746x = 160,362,023,236,667,342,848
  5. Step 5: Solve for x
    x = 160,362,023,236,667,342,848/5,821,695,746
  6. Step 6: Final answer
    x = 27,545,586,412.15

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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.