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Finding the Third Proportional to 52,106,143.50 and 76,643,617.50

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Solution

The third proportional to 52,106,143.50 and 76,643,617.50 is: 112,736,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106,143.50 : 76,643,617.50 = 76,643,617.50 : x
  2. Step 2: Convert to fraction form
    52,106,143.50/76,643,617.50 = 76,643,617.50/x
  3. Step 3: Cross multiply
    52,106,143.50x = 76,643,617.50 × 76,643,617.50
  4. Step 4: Simplify right side
    52,106,143.50x = 5,874,244,103,486,306
  5. Step 5: Solve for x
    x = 5,874,244,103,486,306/52,106,143.50
  6. Step 6: Final answer
    x = 112,736,113.42

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Why These Related Problems?

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