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Finding the Third Proportional to 12,742,074 and 27,512,711

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Solution

The third proportional to 12,742,074 and 27,512,711 is: 59,405,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,074 : 27,512,711 = 27,512,711 : x
  2. Step 2: Convert to fraction form
    12,742,074/27,512,711 = 27,512,711/x
  3. Step 3: Cross multiply
    12,742,074x = 27,512,711 × 27,512,711
  4. Step 4: Simplify right side
    12,742,074x = 756,949,266,569,521
  5. Step 5: Solve for x
    x = 756,949,266,569,521/12,742,074
  6. Step 6: Final answer
    x = 59,405,499.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.