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Finding the Third Proportional to 391,370,024 and 838,763,455

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Solution

The third proportional to 391,370,024 and 838,763,455 is: 1,797,593,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,370,024 : 838,763,455 = 838,763,455 : x
  2. Step 2: Convert to fraction form
    391,370,024/838,763,455 = 838,763,455/x
  3. Step 3: Cross multiply
    391,370,024x = 838,763,455 × 838,763,455
  4. Step 4: Simplify right side
    391,370,024x = 703,524,133,443,537,024
  5. Step 5: Solve for x
    x = 703,524,133,443,537,024/391,370,024
  6. Step 6: Final answer
    x = 1,797,593,301.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.