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Finding the Third Proportional to 352,179,726.75 and 765,043,510.50

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Solution

The third proportional to 352,179,726.75 and 765,043,510.50 is: 1,661,911,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,179,726.75 : 765,043,510.50 = 765,043,510.50 : x
  2. Step 2: Convert to fraction form
    352,179,726.75/765,043,510.50 = 765,043,510.50/x
  3. Step 3: Cross multiply
    352,179,726.75x = 765,043,510.50 × 765,043,510.50
  4. Step 4: Simplify right side
    352,179,726.75x = 585,291,572,958,163,584
  5. Step 5: Solve for x
    x = 585,291,572,958,163,584/352,179,726.75
  6. Step 6: Final answer
    x = 1,661,911,599.40

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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.