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Finding the Third Proportional to 12,520,157,617.13 and 27,001,575,919.13

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Solution

The third proportional to 12,520,157,617.13 and 27,001,575,919.13 is: 58,232,901,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,520,157,617.13 : 27,001,575,919.13 = 27,001,575,919.13 : x
  2. Step 2: Convert to fraction form
    12,520,157,617.13/27,001,575,919.13 = 27,001,575,919.13/x
  3. Step 3: Cross multiply
    12,520,157,617.13x = 27,001,575,919.13 × 27,001,575,919.13
  4. Step 4: Simplify right side
    12,520,157,617.13x = 729,085,102,116,271,030,272
  5. Step 5: Solve for x
    x = 729,085,102,116,271,030,272/12,520,157,617.13
  6. Step 6: Final answer
    x = 58,232,901,247.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.