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Finding the Third Proportional to 486,436,132 and 1,070,158,536

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Solution

The third proportional to 486,436,132 and 1,070,158,536 is: 2,354,346,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,436,132 : 1,070,158,536 = 1,070,158,536 : x
  2. Step 2: Convert to fraction form
    486,436,132/1,070,158,536 = 1,070,158,536/x
  3. Step 3: Cross multiply
    486,436,132x = 1,070,158,536 × 1,070,158,536
  4. Step 4: Simplify right side
    486,436,132x = 1,145,239,292,173,663,232
  5. Step 5: Solve for x
    x = 1,145,239,292,173,663,232/486,436,132
  6. Step 6: Final answer
    x = 2,354,346,679.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.