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Finding the Third Proportional to 5,464,978.88 and 8,020,139.06

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Solution

The third proportional to 5,464,978.88 and 8,020,139.06 is: 11,769,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464,978.88 : 8,020,139.06 = 8,020,139.06 : x
  2. Step 2: Convert to fraction form
    5,464,978.88/8,020,139.06 = 8,020,139.06/x
  3. Step 3: Cross multiply
    5,464,978.88x = 8,020,139.06 × 8,020,139.06
  4. Step 4: Simplify right side
    5,464,978.88x = 64,322,630,581,838.38
  5. Step 5: Solve for x
    x = 64,322,630,581,838.38/5,464,978.88
  6. Step 6: Final answer
    x = 11,769,968.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.