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Finding the Third Proportional to 25,669,140,562 and 54,870,877,706

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Solution

The third proportional to 25,669,140,562 and 54,870,877,706 is: 117,293,105,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669,140,562 : 54,870,877,706 = 54,870,877,706 : x
  2. Step 2: Convert to fraction form
    25,669,140,562/54,870,877,706 = 54,870,877,706/x
  3. Step 3: Cross multiply
    25,669,140,562x = 54,870,877,706 × 54,870,877,706
  4. Step 4: Simplify right side
    25,669,140,562x = 3,010,813,220,226,807,627,776
  5. Step 5: Solve for x
    x = 3,010,813,220,226,807,627,776/25,669,140,562
  6. Step 6: Final answer
    x = 117,293,105,819.21

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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.