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Finding the Third Proportional to 965,007,724 and 2,106,986,128

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Solution

The third proportional to 965,007,724 and 2,106,986,128 is: 4,600,367,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,007,724 : 2,106,986,128 = 2,106,986,128 : x
  2. Step 2: Convert to fraction form
    965,007,724/2,106,986,128 = 2,106,986,128/x
  3. Step 3: Cross multiply
    965,007,724x = 2,106,986,128 × 2,106,986,128
  4. Step 4: Simplify right side
    965,007,724x = 4,439,390,543,584,432,128
  5. Step 5: Solve for x
    x = 4,439,390,543,584,432,128/965,007,724
  6. Step 6: Final answer
    x = 4,600,367,886.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.