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Finding the Third Proportional to 2,450,109,792 and 3,765,994,720

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Solution

The third proportional to 2,450,109,792 and 3,765,994,720 is: 5,788,604,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450,109,792 : 3,765,994,720 = 3,765,994,720 : x
  2. Step 2: Convert to fraction form
    2,450,109,792/3,765,994,720 = 3,765,994,720/x
  3. Step 3: Cross multiply
    2,450,109,792x = 3,765,994,720 × 3,765,994,720
  4. Step 4: Simplify right side
    2,450,109,792x = 14,182,716,231,067,877,376
  5. Step 5: Solve for x
    x = 14,182,716,231,067,877,376/2,450,109,792
  6. Step 6: Final answer
    x = 5,788,604,362.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.