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Finding the Third Proportional to 509,564,720,151 and 791,196,370,749

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Solution

The third proportional to 509,564,720,151 and 791,196,370,749 is: 1,228,483,198,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,564,720,151 : 791,196,370,749 = 791,196,370,749 : x
  2. Step 2: Convert to fraction form
    509,564,720,151/791,196,370,749 = 791,196,370,749/x
  3. Step 3: Cross multiply
    509,564,720,151x = 791,196,370,749 × 791,196,370,749
  4. Step 4: Simplify right side
    509,564,720,151x = 625,991,697,086,389,086,584,832
  5. Step 5: Solve for x
    x = 625,991,697,086,389,086,584,832/509,564,720,151
  6. Step 6: Final answer
    x = 1,228,483,198,171.35

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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.