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Finding the Third Proportional to 25,669,140,565 and 54,870,877,712.50

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Solution

The third proportional to 25,669,140,565 and 54,870,877,712.50 is: 117,293,105,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669,140,565 : 54,870,877,712.50 = 54,870,877,712.50 : x
  2. Step 2: Convert to fraction form
    25,669,140,565/54,870,877,712.50 = 54,870,877,712.50/x
  3. Step 3: Cross multiply
    25,669,140,565x = 54,870,877,712.50 × 54,870,877,712.50
  4. Step 4: Simplify right side
    25,669,140,565x = 3,010,813,220,940,129,239,040
  5. Step 5: Solve for x
    x = 3,010,813,220,940,129,239,040/25,669,140,565
  6. Step 6: Final answer
    x = 117,293,105,833.29

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