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Finding the Third Proportional to 764,022,846 and 1,636,971,252

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Solution

The third proportional to 764,022,846 and 1,636,971,252 is: 3,507,322,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,022,846 : 1,636,971,252 = 1,636,971,252 : x
  2. Step 2: Convert to fraction form
    764,022,846/1,636,971,252 = 1,636,971,252/x
  3. Step 3: Cross multiply
    764,022,846x = 1,636,971,252 × 1,636,971,252
  4. Step 4: Simplify right side
    764,022,846x = 2,679,674,879,874,447,360
  5. Step 5: Solve for x
    x = 2,679,674,879,874,447,360/764,022,846
  6. Step 6: Final answer
    x = 3,507,322,973.26

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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.