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Finding the Third Proportional to 78,057,990,672.50 and 105,318,557,008.50

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Solution

The third proportional to 78,057,990,672.50 and 105,318,557,008.50 is: 142,099,461,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057,990,672.50 : 105,318,557,008.50 = 105,318,557,008.50 : x
  2. Step 2: Convert to fraction form
    78,057,990,672.50/105,318,557,008.50 = 105,318,557,008.50/x
  3. Step 3: Cross multiply
    78,057,990,672.50x = 105,318,557,008.50 × 105,318,557,008.50
  4. Step 4: Simplify right side
    78,057,990,672.50x = 11,091,998,450,352,664,870,912
  5. Step 5: Solve for x
    x = 11,091,998,450,352,664,870,912/78,057,990,672.50
  6. Step 6: Final answer
    x = 142,099,461,628.35

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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.