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Finding the Third Proportional to 6,367,095 and 13,742,508

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Solution

The third proportional to 6,367,095 and 13,742,508 is: 29,661,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367,095 : 13,742,508 = 13,742,508 : x
  2. Step 2: Convert to fraction form
    6,367,095/13,742,508 = 13,742,508/x
  3. Step 3: Cross multiply
    6,367,095x = 13,742,508 × 13,742,508
  4. Step 4: Simplify right side
    6,367,095x = 188,856,526,130,064
  5. Step 5: Solve for x
    x = 188,856,526,130,064/6,367,095
  6. Step 6: Final answer
    x = 29,661,333.17

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