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Finding the Third Proportional to 2,742,563,792.25 and 4,202,369,525.25

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Solution

The third proportional to 2,742,563,792.25 and 4,202,369,525.25 is: 6,439,197,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,563,792.25 : 4,202,369,525.25 = 4,202,369,525.25 : x
  2. Step 2: Convert to fraction form
    2,742,563,792.25/4,202,369,525.25 = 4,202,369,525.25/x
  3. Step 3: Cross multiply
    2,742,563,792.25x = 4,202,369,525.25 × 4,202,369,525.25
  4. Step 4: Simplify right side
    2,742,563,792.25x = 17,659,909,626,749,911,040
  5. Step 5: Solve for x
    x = 17,659,909,626,749,911,040/2,742,563,792.25
  6. Step 6: Final answer
    x = 6,439,197,395.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.