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Finding the Third Proportional to 36,376,681 and 54,942,688.50

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Solution

The third proportional to 36,376,681 and 54,942,688.50 is: 82,984,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,376,681 : 54,942,688.50 = 54,942,688.50 : x
  2. Step 2: Convert to fraction form
    36,376,681/54,942,688.50 = 54,942,688.50/x
  3. Step 3: Cross multiply
    36,376,681x = 54,942,688.50 × 54,942,688.50
  4. Step 4: Simplify right side
    36,376,681x = 3,018,699,019,608,032
  5. Step 5: Solve for x
    x = 3,018,699,019,608,032/36,376,681
  6. Step 6: Final answer
    x = 82,984,454.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.