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Finding the Third Proportional to 624,464,112,216 and 842,548,696,932

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Solution

The third proportional to 624,464,112,216 and 842,548,696,932 is: 1,136,796,002,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,464,112,216 : 842,548,696,932 = 842,548,696,932 : x
  2. Step 2: Convert to fraction form
    624,464,112,216/842,548,696,932 = 842,548,696,932/x
  3. Step 3: Cross multiply
    624,464,112,216x = 842,548,696,932 × 842,548,696,932
  4. Step 4: Simplify right side
    624,464,112,216x = 709,888,306,701,811,190,857,728
  5. Step 5: Solve for x
    x = 709,888,306,701,811,190,857,728/624,464,112,216
  6. Step 6: Final answer
    x = 1,136,796,002,868.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.