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Finding the Third Proportional to 10,744,535,655 and 23,121,658,057.50

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Solution

The third proportional to 10,744,535,655 and 23,121,658,057.50 is: 49,756,554,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744,535,655 : 23,121,658,057.50 = 23,121,658,057.50 : x
  2. Step 2: Convert to fraction form
    10,744,535,655/23,121,658,057.50 = 23,121,658,057.50/x
  3. Step 3: Cross multiply
    10,744,535,655x = 23,121,658,057.50 × 23,121,658,057.50
  4. Step 4: Simplify right side
    10,744,535,655x = 534,611,071,327,954,665,472
  5. Step 5: Solve for x
    x = 534,611,071,327,954,665,472/10,744,535,655
  6. Step 6: Final answer
    x = 49,756,554,261.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.