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Finding the Third Proportional to 5,384,054.95 and 8,140,182.72

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Solution

The third proportional to 5,384,054.95 and 8,140,182.72 is: 12,307,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,054.95 : 8,140,182.72 = 8,140,182.72 : x
  2. Step 2: Convert to fraction form
    5,384,054.95/8,140,182.72 = 8,140,182.72/x
  3. Step 3: Cross multiply
    5,384,054.95x = 8,140,182.72 × 8,140,182.72
  4. Step 4: Simplify right side
    5,384,054.95x = 66,262,574,774,128.28
  5. Step 5: Solve for x
    x = 66,262,574,774,128.28/5,384,054.95
  6. Step 6: Final answer
    x = 12,307,187.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.