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Finding the Third Proportional to 12,309,618,575 and 29,029,501,121

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Solution

The third proportional to 12,309,618,575 and 29,029,501,121 is: 68,459,630,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309,618,575 : 29,029,501,121 = 29,029,501,121 : x
  2. Step 2: Convert to fraction form
    12,309,618,575/29,029,501,121 = 29,029,501,121/x
  3. Step 3: Cross multiply
    12,309,618,575x = 29,029,501,121 × 29,029,501,121
  4. Step 4: Simplify right side
    12,309,618,575x = 842,711,935,334,140,215,296
  5. Step 5: Solve for x
    x = 842,711,935,334,140,215,296/12,309,618,575
  6. Step 6: Final answer
    x = 68,459,630,182.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.