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Finding the Third Proportional to 52,106,152.50 and 76,643,631

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Solution

The third proportional to 52,106,152.50 and 76,643,631 is: 112,736,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106,152.50 : 76,643,631 = 76,643,631 : x
  2. Step 2: Convert to fraction form
    52,106,152.50/76,643,631 = 76,643,631/x
  3. Step 3: Cross multiply
    52,106,152.50x = 76,643,631 × 76,643,631
  4. Step 4: Simplify right side
    52,106,152.50x = 5,874,246,172,864,161
  5. Step 5: Solve for x
    x = 5,874,246,172,864,161/52,106,152.50
  6. Step 6: Final answer
    x = 112,736,133.66

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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.