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Finding the Third Proportional to 25,669,140,572 and 54,870,877,728

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Solution

The third proportional to 25,669,140,572 and 54,870,877,728 is: 117,293,105,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669,140,572 : 54,870,877,728 = 54,870,877,728 : x
  2. Step 2: Convert to fraction form
    25,669,140,572/54,870,877,728 = 54,870,877,728/x
  3. Step 3: Cross multiply
    25,669,140,572x = 54,870,877,728 × 54,870,877,728
  4. Step 4: Simplify right side
    25,669,140,572x = 3,010,813,222,641,126,604,800
  5. Step 5: Solve for x
    x = 3,010,813,222,641,126,604,800/25,669,140,572
  6. Step 6: Final answer
    x = 117,293,105,867.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.