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Finding the Third Proportional to 2,462,582,996 and 5,417,677,732

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Solution

The third proportional to 2,462,582,996 and 5,417,677,732 is: 11,918,880,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,582,996 : 5,417,677,732 = 5,417,677,732 : x
  2. Step 2: Convert to fraction form
    2,462,582,996/5,417,677,732 = 5,417,677,732/x
  3. Step 3: Cross multiply
    2,462,582,996x = 5,417,677,732 × 5,417,677,732
  4. Step 4: Simplify right side
    2,462,582,996x = 29,351,232,007,808,663,552
  5. Step 5: Solve for x
    x = 29,351,232,007,808,663,552/2,462,582,996
  6. Step 6: Final answer
    x = 11,918,880,320.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.