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Finding the Third Proportional to 20,024,396 and 31,020,414

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Solution

The third proportional to 20,024,396 and 31,020,414 is: 48,054,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024,396 : 31,020,414 = 31,020,414 : x
  2. Step 2: Convert to fraction form
    20,024,396/31,020,414 = 31,020,414/x
  3. Step 3: Cross multiply
    20,024,396x = 31,020,414 × 31,020,414
  4. Step 4: Simplify right side
    20,024,396x = 962,266,084,731,396
  5. Step 5: Solve for x
    x = 962,266,084,731,396/20,024,396
  6. Step 6: Final answer
    x = 48,054,687.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.