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Finding the Third Proportional to 19,913,742 and 30,754,992

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Solution

The third proportional to 19,913,742 and 30,754,992 is: 47,498,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913,742 : 30,754,992 = 30,754,992 : x
  2. Step 2: Convert to fraction form
    19,913,742/30,754,992 = 30,754,992/x
  3. Step 3: Cross multiply
    19,913,742x = 30,754,992 × 30,754,992
  4. Step 4: Simplify right side
    19,913,742x = 945,869,532,920,064
  5. Step 5: Solve for x
    x = 945,869,532,920,064/19,913,742
  6. Step 6: Final answer
    x = 47,498,332.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.