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Finding the Third Proportional to 891,536,852 and 1,350,768,436

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Solution

The third proportional to 891,536,852 and 1,350,768,436 is: 2,046,550,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,536,852 : 1,350,768,436 = 1,350,768,436 : x
  2. Step 2: Convert to fraction form
    891,536,852/1,350,768,436 = 1,350,768,436/x
  3. Step 3: Cross multiply
    891,536,852x = 1,350,768,436 × 1,350,768,436
  4. Step 4: Simplify right side
    891,536,852x = 1,824,575,367,693,886,208
  5. Step 5: Solve for x
    x = 1,824,575,367,693,886,208/891,536,852
  6. Step 6: Final answer
    x = 2,046,550,699.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.