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Finding the Third Proportional to 2,497,385,495,667 and 3,973,831,269,979.60

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Solution

The third proportional to 2,497,385,495,667 and 3,973,831,269,979.60 is: 6,323,146,742,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497,385,495,667 : 3,973,831,269,979.60 = 3,973,831,269,979.60 : x
  2. Step 2: Convert to fraction form
    2,497,385,495,667/3,973,831,269,979.60 = 3,973,831,269,979.60/x
  3. Step 3: Cross multiply
    2,497,385,495,667x = 3,973,831,269,979.60 × 3,973,831,269,979.60
  4. Step 4: Simplify right side
    2,497,385,495,667x = 15,791,334,962,267,682,129,313,792
  5. Step 5: Solve for x
    x = 15,791,334,962,267,682,129,313,792/2,497,385,495,667
  6. Step 6: Final answer
    x = 6,323,146,742,729.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.