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Finding the Third Proportional to 10,857,501,697.50 and 23,429,904,457.50

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Solution

The third proportional to 10,857,501,697.50 and 23,429,904,457.50 is: 50,560,473,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857,501,697.50 : 23,429,904,457.50 = 23,429,904,457.50 : x
  2. Step 2: Convert to fraction form
    10,857,501,697.50/23,429,904,457.50 = 23,429,904,457.50/x
  3. Step 3: Cross multiply
    10,857,501,697.50x = 23,429,904,457.50 × 23,429,904,457.50
  4. Step 4: Simplify right side
    10,857,501,697.50x = 548,960,422,887,578,337,280
  5. Step 5: Solve for x
    x = 548,960,422,887,578,337,280/10,857,501,697.50
  6. Step 6: Final answer
    x = 50,560,473,134.81

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