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Finding the Third Proportional to 6,706,315.50 and 14,930,271.75

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Solution

The third proportional to 6,706,315.50 and 14,930,271.75 is: 33,239,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706,315.50 : 14,930,271.75 = 14,930,271.75 : x
  2. Step 2: Convert to fraction form
    6,706,315.50/14,930,271.75 = 14,930,271.75/x
  3. Step 3: Cross multiply
    6,706,315.50x = 14,930,271.75 × 14,930,271.75
  4. Step 4: Simplify right side
    6,706,315.50x = 222,913,014,528,848.06
  5. Step 5: Solve for x
    x = 222,913,014,528,848.06/6,706,315.50
  6. Step 6: Final answer
    x = 33,239,267.45

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.