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Finding the Third Proportional to 756,322,422 and 1,645,159,548

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Solution

The third proportional to 756,322,422 and 1,645,159,548 is: 3,578,566,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,322,422 : 1,645,159,548 = 1,645,159,548 : x
  2. Step 2: Convert to fraction form
    756,322,422/1,645,159,548 = 1,645,159,548/x
  3. Step 3: Cross multiply
    756,322,422x = 1,645,159,548 × 1,645,159,548
  4. Step 4: Simplify right side
    756,322,422x = 2,706,549,938,375,564,288
  5. Step 5: Solve for x
    x = 2,706,549,938,375,564,288/756,322,422
  6. Step 6: Final answer
    x = 3,578,566,309.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.