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Finding the Third Proportional to 1,617,236,258 and 2,484,272,744

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Solution

The third proportional to 1,617,236,258 and 2,484,272,744 is: 3,816,146,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,236,258 : 2,484,272,744 = 2,484,272,744 : x
  2. Step 2: Convert to fraction form
    1,617,236,258/2,484,272,744 = 2,484,272,744/x
  3. Step 3: Cross multiply
    1,617,236,258x = 2,484,272,744 × 2,484,272,744
  4. Step 4: Simplify right side
    1,617,236,258x = 6,171,611,066,581,289,984
  5. Step 5: Solve for x
    x = 6,171,611,066,581,289,984/1,617,236,258
  6. Step 6: Final answer
    x = 3,816,146,859.22

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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.