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Finding the Third Proportional to 5,825,213 and 8,737,820.50

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Solution

The third proportional to 5,825,213 and 8,737,820.50 is: 13,106,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825,213 : 8,737,820.50 = 8,737,820.50 : x
  2. Step 2: Convert to fraction form
    5,825,213/8,737,820.50 = 8,737,820.50/x
  3. Step 3: Cross multiply
    5,825,213x = 8,737,820.50 × 8,737,820.50
  4. Step 4: Simplify right side
    5,825,213x = 76,349,507,090,220.25
  5. Step 5: Solve for x
    x = 76,349,507,090,220.25/5,825,213
  6. Step 6: Final answer
    x = 13,106,732.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.