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Finding the Third Proportional to 6,740,614 and 14,742,312

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Solution

The third proportional to 6,740,614 and 14,742,312 is: 32,242,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740,614 : 14,742,312 = 14,742,312 : x
  2. Step 2: Convert to fraction form
    6,740,614/14,742,312 = 14,742,312/x
  3. Step 3: Cross multiply
    6,740,614x = 14,742,312 × 14,742,312
  4. Step 4: Simplify right side
    6,740,614x = 217,335,763,105,344
  5. Step 5: Solve for x
    x = 217,335,763,105,344/6,740,614
  6. Step 6: Final answer
    x = 32,242,724.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.