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Finding the Third Proportional to 27,754,311 and 40,684,716

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Solution

The third proportional to 27,754,311 and 40,684,716 is: 59,639,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754,311 : 40,684,716 = 40,684,716 : x
  2. Step 2: Convert to fraction form
    27,754,311/40,684,716 = 40,684,716/x
  3. Step 3: Cross multiply
    27,754,311x = 40,684,716 × 40,684,716
  4. Step 4: Simplify right side
    27,754,311x = 1,655,246,116,000,656
  5. Step 5: Solve for x
    x = 1,655,246,116,000,656/27,754,311
  6. Step 6: Final answer
    x = 59,639,243.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.