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Finding the Third Proportional to 2,497,385,495,664 and 3,973,831,269,975

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Solution

The third proportional to 2,497,385,495,664 and 3,973,831,269,975 is: 6,323,146,742,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497,385,495,664 : 3,973,831,269,975 = 3,973,831,269,975 : x
  2. Step 2: Convert to fraction form
    2,497,385,495,664/3,973,831,269,975 = 3,973,831,269,975/x
  3. Step 3: Cross multiply
    2,497,385,495,664x = 3,973,831,269,975 × 3,973,831,269,975
  4. Step 4: Simplify right side
    2,497,385,495,664x = 15,791,334,962,231,121,220,206,592
  5. Step 5: Solve for x
    x = 15,791,334,962,231,121,220,206,592/2,497,385,495,664
  6. Step 6: Final answer
    x = 6,323,146,742,722.85

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Why These Related Problems?

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