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Finding the Third Proportional to 12,594,483,692 and 29,157,001,742

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Solution

The third proportional to 12,594,483,692 and 29,157,001,742 is: 67,500,246,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594,483,692 : 29,157,001,742 = 29,157,001,742 : x
  2. Step 2: Convert to fraction form
    12,594,483,692/29,157,001,742 = 29,157,001,742/x
  3. Step 3: Cross multiply
    12,594,483,692x = 29,157,001,742 × 29,157,001,742
  4. Step 4: Simplify right side
    12,594,483,692x = 850,130,750,582,991,093,760
  5. Step 5: Solve for x
    x = 850,130,750,582,991,093,760/12,594,483,692
  6. Step 6: Final answer
    x = 67,500,246,248.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.