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Finding the Third Proportional to 19,753,924 and 30,401,261

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Solution

The third proportional to 19,753,924 and 30,401,261 is: 46,787,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753,924 : 30,401,261 = 30,401,261 : x
  2. Step 2: Convert to fraction form
    19,753,924/30,401,261 = 30,401,261/x
  3. Step 3: Cross multiply
    19,753,924x = 30,401,261 × 30,401,261
  4. Step 4: Simplify right side
    19,753,924x = 924,236,670,390,121
  5. Step 5: Solve for x
    x = 924,236,670,390,121/19,753,924
  6. Step 6: Final answer
    x = 46,787,497.53

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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.