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Finding the Third Proportional to 48,696,963,004 and 104,722,651,488

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Solution

The third proportional to 48,696,963,004 and 104,722,651,488 is: 225,205,701,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696,963,004 : 104,722,651,488 = 104,722,651,488 : x
  2. Step 2: Convert to fraction form
    48,696,963,004/104,722,651,488 = 104,722,651,488/x
  3. Step 3: Cross multiply
    48,696,963,004x = 104,722,651,488 × 104,722,651,488
  4. Step 4: Simplify right side
    48,696,963,004x = 10,966,833,734,677,109,407,744
  5. Step 5: Solve for x
    x = 10,966,833,734,677,109,407,744/48,696,963,004
  6. Step 6: Final answer
    x = 225,205,701,919.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.