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Finding the Third Proportional to 624,464,112,218 and 842,548,696,935

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Solution

The third proportional to 624,464,112,218 and 842,548,696,935 is: 1,136,796,002,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,464,112,218 : 842,548,696,935 = 842,548,696,935 : x
  2. Step 2: Convert to fraction form
    624,464,112,218/842,548,696,935 = 842,548,696,935/x
  3. Step 3: Cross multiply
    624,464,112,218x = 842,548,696,935 × 842,548,696,935
  4. Step 4: Simplify right side
    624,464,112,218x = 709,888,306,706,866,501,582,848
  5. Step 5: Solve for x
    x = 709,888,306,706,866,501,582,848/624,464,112,218
  6. Step 6: Final answer
    x = 1,136,796,002,872.69

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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.