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Finding the Third Proportional to 25,875,376,888 and 38,709,628,800

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Solution

The third proportional to 25,875,376,888 and 38,709,628,800 is: 57,909,701,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875,376,888 : 38,709,628,800 = 38,709,628,800 : x
  2. Step 2: Convert to fraction form
    25,875,376,888/38,709,628,800 = 38,709,628,800/x
  3. Step 3: Cross multiply
    25,875,376,888x = 38,709,628,800 × 38,709,628,800
  4. Step 4: Simplify right side
    25,875,376,888x = 1,498,435,361,833,789,423,616
  5. Step 5: Solve for x
    x = 1,498,435,361,833,789,423,616/25,875,376,888
  6. Step 6: Final answer
    x = 57,909,701,888.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.