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Finding the Third Proportional to 10,855,867,414.50 and 23,634,037,683

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Solution

The third proportional to 10,855,867,414.50 and 23,634,037,683 is: 51,453,072,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855,867,414.50 : 23,634,037,683 = 23,634,037,683 : x
  2. Step 2: Convert to fraction form
    10,855,867,414.50/23,634,037,683 = 23,634,037,683/x
  3. Step 3: Cross multiply
    10,855,867,414.50x = 23,634,037,683 × 23,634,037,683
  4. Step 4: Simplify right side
    10,855,867,414.50x = 558,567,737,201,463,984,128
  5. Step 5: Solve for x
    x = 558,567,737,201,463,984,128/10,855,867,414.50
  6. Step 6: Final answer
    x = 51,453,072,875.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.