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Finding the Third Proportional to 2,742,024,438 and 4,177,284,561

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Solution

The third proportional to 2,742,024,438 and 4,177,284,561 is: 6,363,804,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,024,438 : 4,177,284,561 = 4,177,284,561 : x
  2. Step 2: Convert to fraction form
    2,742,024,438/4,177,284,561 = 4,177,284,561/x
  3. Step 3: Cross multiply
    2,742,024,438x = 4,177,284,561 × 4,177,284,561
  4. Step 4: Simplify right side
    2,742,024,438x = 17,449,706,303,568,963,584
  5. Step 5: Solve for x
    x = 17,449,706,303,568,963,584/2,742,024,438
  6. Step 6: Final answer
    x = 6,363,804,079.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.