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Finding the Third Proportional to 2,259,620,944 and 4,875,949,472

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Solution

The third proportional to 2,259,620,944 and 4,875,949,472 is: 10,521,624,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259,620,944 : 4,875,949,472 = 4,875,949,472 : x
  2. Step 2: Convert to fraction form
    2,259,620,944/4,875,949,472 = 4,875,949,472/x
  3. Step 3: Cross multiply
    2,259,620,944x = 4,875,949,472 × 4,875,949,472
  4. Step 4: Simplify right side
    2,259,620,944x = 23,774,883,253,497,077,760
  5. Step 5: Solve for x
    x = 23,774,883,253,497,077,760/2,259,620,944
  6. Step 6: Final answer
    x = 10,521,624,574.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.