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Finding the Third Proportional to 2,706,396 and 5,636,695.50

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Solution

The third proportional to 2,706,396 and 5,636,695.50 is: 11,739,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,396 : 5,636,695.50 = 5,636,695.50 : x
  2. Step 2: Convert to fraction form
    2,706,396/5,636,695.50 = 5,636,695.50/x
  3. Step 3: Cross multiply
    2,706,396x = 5,636,695.50 × 5,636,695.50
  4. Step 4: Simplify right side
    2,706,396x = 31,772,336,159,720.25
  5. Step 5: Solve for x
    x = 31,772,336,159,720.25/2,706,396
  6. Step 6: Final answer
    x = 11,739,721.81

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.