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Finding the Third Proportional to 873,889,152 and 1,871,736,896

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Solution

The third proportional to 873,889,152 and 1,871,736,896 is: 4,008,974,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,889,152 : 1,871,736,896 = 1,871,736,896 : x
  2. Step 2: Convert to fraction form
    873,889,152/1,871,736,896 = 1,871,736,896/x
  3. Step 3: Cross multiply
    873,889,152x = 1,871,736,896 × 1,871,736,896
  4. Step 4: Simplify right side
    873,889,152x = 3,503,399,007,847,714,816
  5. Step 5: Solve for x
    x = 3,503,399,007,847,714,816/873,889,152
  6. Step 6: Final answer
    x = 4,008,974,135.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.