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Finding the Third Proportional to 52,106,134.50 and 76,643,608.50

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Solution

The third proportional to 52,106,134.50 and 76,643,608.50 is: 112,736,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106,134.50 : 76,643,608.50 = 76,643,608.50 : x
  2. Step 2: Convert to fraction form
    52,106,134.50/76,643,608.50 = 76,643,608.50/x
  3. Step 3: Cross multiply
    52,106,134.50x = 76,643,608.50 × 76,643,608.50
  4. Step 4: Simplify right side
    52,106,134.50x = 5,874,242,723,901,272
  5. Step 5: Solve for x
    x = 5,874,242,723,901,272/52,106,134.50
  6. Step 6: Final answer
    x = 112,736,106.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.