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Finding the Third Proportional to 965,790,480 and 2,092,026,624

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Solution

The third proportional to 965,790,480 and 2,092,026,624 is: 4,531,599,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,790,480 : 2,092,026,624 = 2,092,026,624 : x
  2. Step 2: Convert to fraction form
    965,790,480/2,092,026,624 = 2,092,026,624/x
  3. Step 3: Cross multiply
    965,790,480x = 2,092,026,624 × 2,092,026,624
  4. Step 4: Simplify right side
    965,790,480x = 4,376,575,395,524,837,376
  5. Step 5: Solve for x
    x = 4,376,575,395,524,837,376/965,790,480
  6. Step 6: Final answer
    x = 4,531,599,230.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.