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Finding the Third Proportional to 35,788,765 and 54,724,015.50

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Solution

The third proportional to 35,788,765 and 54,724,015.50 is: 83,677,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788,765 : 54,724,015.50 = 54,724,015.50 : x
  2. Step 2: Convert to fraction form
    35,788,765/54,724,015.50 = 54,724,015.50/x
  3. Step 3: Cross multiply
    35,788,765x = 54,724,015.50 × 54,724,015.50
  4. Step 4: Simplify right side
    35,788,765x = 2,994,717,872,444,240
  5. Step 5: Solve for x
    x = 2,994,717,872,444,240/35,788,765
  6. Step 6: Final answer
    x = 83,677,597.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.