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Finding the Third Proportional to 887,232,576 and 1,978,468,224

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Solution

The third proportional to 887,232,576 and 1,978,468,224 is: 4,411,849,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    887,232,576 : 1,978,468,224 = 1,978,468,224 : x
  2. Step 2: Convert to fraction form
    887,232,576/1,978,468,224 = 1,978,468,224/x
  3. Step 3: Cross multiply
    887,232,576x = 1,978,468,224 × 1,978,468,224
  4. Step 4: Simplify right side
    887,232,576x = 3,914,336,513,377,714,176
  5. Step 5: Solve for x
    x = 3,914,336,513,377,714,176/887,232,576
  6. Step 6: Final answer
    x = 4,411,849,405.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.