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Finding the Third Proportional to 9,764,779.50 and 20,999,327.63

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Solution

The third proportional to 9,764,779.50 and 20,999,327.63 is: 45,159,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,779.50 : 20,999,327.63 = 20,999,327.63 : x
  2. Step 2: Convert to fraction form
    9,764,779.50/20,999,327.63 = 20,999,327.63/x
  3. Step 3: Cross multiply
    9,764,779.50x = 20,999,327.63 × 20,999,327.63
  4. Step 4: Simplify right side
    9,764,779.50x = 440,971,760,702,088.12
  5. Step 5: Solve for x
    x = 440,971,760,702,088.12/9,764,779.50
  6. Step 6: Final answer
    x = 45,159,418.16

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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.