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Finding the Third Proportional to 4,592,784 and 9,887,594.50

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Solution

The third proportional to 4,592,784 and 9,887,594.50 is: 21,286,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592,784 : 9,887,594.50 = 9,887,594.50 : x
  2. Step 2: Convert to fraction form
    4,592,784/9,887,594.50 = 9,887,594.50/x
  3. Step 3: Cross multiply
    4,592,784x = 9,887,594.50 × 9,887,594.50
  4. Step 4: Simplify right side
    4,592,784x = 97,764,524,996,430.25
  5. Step 5: Solve for x
    x = 97,764,524,996,430.25/4,592,784
  6. Step 6: Final answer
    x = 21,286,549.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.