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Finding the Third Proportional to 954,303,424 and 2,087,240,576

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Solution

The third proportional to 954,303,424 and 2,087,240,576 is: 4,565,186,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,303,424 : 2,087,240,576 = 2,087,240,576 : x
  2. Step 2: Convert to fraction form
    954,303,424/2,087,240,576 = 2,087,240,576/x
  3. Step 3: Cross multiply
    954,303,424x = 2,087,240,576 × 2,087,240,576
  4. Step 4: Simplify right side
    954,303,424x = 4,356,573,222,100,811,776
  5. Step 5: Solve for x
    x = 4,356,573,222,100,811,776/954,303,424
  6. Step 6: Final answer
    x = 4,565,186,619.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.