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Finding the Third Proportional to 5,291,118 and 7,732,516.50

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Solution

The third proportional to 5,291,118 and 7,732,516.50 is: 11,300,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291,118 : 7,732,516.50 = 7,732,516.50 : x
  2. Step 2: Convert to fraction form
    5,291,118/7,732,516.50 = 7,732,516.50/x
  3. Step 3: Cross multiply
    5,291,118x = 7,732,516.50 × 7,732,516.50
  4. Step 4: Simplify right side
    5,291,118x = 59,791,811,422,772.25
  5. Step 5: Solve for x
    x = 59,791,811,422,772.25/5,291,118
  6. Step 6: Final answer
    x = 11,300,411.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.