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Finding the Third Proportional to 2,579,699,880 and 5,267,677,968

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Solution

The third proportional to 2,579,699,880 and 5,267,677,968 is: 10,756,457,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579,699,880 : 5,267,677,968 = 5,267,677,968 : x
  2. Step 2: Convert to fraction form
    2,579,699,880/5,267,677,968 = 5,267,677,968/x
  3. Step 3: Cross multiply
    2,579,699,880x = 5,267,677,968 × 5,267,677,968
  4. Step 4: Simplify right side
    2,579,699,880x = 27,748,431,174,552,608,768
  5. Step 5: Solve for x
    x = 27,748,431,174,552,608,768/2,579,699,880
  6. Step 6: Final answer
    x = 10,756,457,132.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.