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Finding the Third Proportional to 4,498,469,070,752 and 6,852,952,837,516

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Solution

The third proportional to 4,498,469,070,752 and 6,852,952,837,516 is: 10,439,765,585,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498,469,070,752 : 6,852,952,837,516 = 6,852,952,837,516 : x
  2. Step 2: Convert to fraction form
    4,498,469,070,752/6,852,952,837,516 = 6,852,952,837,516/x
  3. Step 3: Cross multiply
    4,498,469,070,752x = 6,852,952,837,516 × 6,852,952,837,516
  4. Step 4: Simplify right side
    4,498,469,070,752x = 46,962,962,593,218,595,701,915,648
  5. Step 5: Solve for x
    x = 46,962,962,593,218,595,701,915,648/4,498,469,070,752
  6. Step 6: Final answer
    x = 10,439,765,585,710.23

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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.