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Finding the Third Proportional to 2,138,288.63 and 4,653,007.88

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Solution

The third proportional to 2,138,288.63 and 4,653,007.88 is: 10,125,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,288.63 : 4,653,007.88 = 4,653,007.88 : x
  2. Step 2: Convert to fraction form
    2,138,288.63/4,653,007.88 = 4,653,007.88/x
  3. Step 3: Cross multiply
    2,138,288.63x = 4,653,007.88 × 4,653,007.88
  4. Step 4: Simplify right side
    2,138,288.63x = 21,650,482,284,812.02
  5. Step 5: Solve for x
    x = 21,650,482,284,812.02/2,138,288.63
  6. Step 6: Final answer
    x = 10,125,144.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.