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Finding the Third Proportional to 1,051,742,322 and 1,641,284,019

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Solution

The third proportional to 1,051,742,322 and 1,641,284,019 is: 2,561,286,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,742,322 : 1,641,284,019 = 1,641,284,019 : x
  2. Step 2: Convert to fraction form
    1,051,742,322/1,641,284,019 = 1,641,284,019/x
  3. Step 3: Cross multiply
    1,051,742,322x = 1,641,284,019 × 1,641,284,019
  4. Step 4: Simplify right side
    1,051,742,322x = 2,693,813,231,024,792,576
  5. Step 5: Solve for x
    x = 2,693,813,231,024,792,576/1,051,742,322
  6. Step 6: Final answer
    x = 2,561,286,329.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.